%============================================================================ % M A T H E M A T I C S B I B L I O G R A P H Y % % This file contains bibliography entries for books and articles on % % Analysis % Approximation theory % Combinatorics % Differential equations % Differential geometry % Differential topology % Functional analysis % Graph theory % Group theory % History of mathematics % Integral equations % Linear algebra % Mathematical physics % Measure theory % Monte Carlo % Number theory % Numerical analysis % Operator theory % Probability theory % Special functions % Symbolic logic % Tensor analysis % Topology % % All journal and publisher abbreviations are defined in "Abbrev.bib". % Suggestions for additions and corrections are welcomed. % See http://www.cs.caltech.edu/~arvo for contact information. %---------------------------------------------------------------------------- % This is free software, which is distributed in the hope that it will % be useful, but WITHOUT EXPRESS OR IMPLIED WARRANTY of merchantability % or fitness for any particular purpose. You may redistribute it and/or % modify it under the terms of the GNU General Public License, which is % available at http://www.fsf.org/copyleft/gpl.html and authored by the % Free Software Foundation. % % Last updated January 21, 2002. % Compiled by Jim Arvo, California Institute of Technology. %============================================================================ @BOOK{ Aberth-1980, AUTHOR = "Oliver Aberth", TITLE = "Computable Analysis", PUBLISHER = MH, ADDRESS = NY, YEAR = 1980 } @BOOK{ Abraham-1988, AUTHOR = "R. Abraham and J. E. Marsden and T. Ratiu", TITLE = "Manifolds, Tensor Analysis, and Applications", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1988 } @BOOK{ Abramowitz-1965, EDITOR = "Milton Abramowitz and Irene A. Stegun", TITLE = "Handbook of Mathematical Functions", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1965 } @MASTERSTHESIS{ Abramson-1985-Thesis, AUTHOR = "Daniel Abramson", TITLE = "Differential Forms", SCHOOL = "Cornell University", YEAR = 1985 } @BOOK{ Acton-1970, AUTHOR = "Forman S. Acton", TITLE = "Numerical Methods that Work", PUBLISHER = "Harper and Row", ADDRESS = NY, YEAR = 1970 } @BOOK{ Aczel-1996, AUTHOR = "Amir D. Aczel", TITLE = "Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem", PUBLISHER = "Delta", ADDRESS = NY, YEAR = 1996 } @BOOK{ Adams-1986, AUTHOR = "Malcolm Adams and Victor Guillemin", TITLE = "Measure Theory and Probability", PUBLISHER = "Wadsworth", ADDRESS = "Monterey, CA", YEAR = 1986 } @BOOK{ Akhiezer-1993, AUTHOR = "N. I. Akhiezer and I. M. Glazman", TITLE = "Theory of Linear Operators in Hilbert Space", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1993, NOTE = "Translated from the Russian by M. Nestell" } @INPROCEEDINGS{ Albert-1956, AUTHOR = "G. E. Albert", TITLE = "A general theory of stochastic estimates of the {Neuma} series for solution of certain {Fredholm} integral equations and related series", BOOKTITLE = "Symposium on Monte Carlo Methods", EDITOR = "M. A. Meyer", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1956, PAGES = "37--46" } @BOOK{ Aleksandrov-1969, AUTHOR = "A. D. Aleksandrov and A. N. Kolmogorov and M. A. Lavernt'ev", TITLE = "Mathematics: It's Content, Methods, and Meaning", EDITION = Second, PUBLISHER = MIT, ADDRESS = CambMass, YEAR = 1969, NOTE = "Translated by S. H. Gould" } @BOOK{ Aliprantis-1985, AUTHOR = "Charalambos D. Aliprantis and Owen Burkinshaw", TITLE = "Positive Operators", PUBLISHER = AP, ADDRESS = NY, YEAR = 1985 } @ARTICLE{ Allgower-1980, AUTHOR = "Eugene Allgower and Kurt Georg", TITLE = "Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations", JOURNAL = SIAM-Rev, VOLUME = 22, NUMBER = 1, MONTH = Jan, YEAR = 1980, PAGES = "28--85" } @ARTICLE{ Allgower-1989, AUTHOR = "E. L. Allgower and C.-S. Chien and K. Georg", TITLE = "Large sparse continuation problems", JOURNAL = JC&AM, VOLUME = 26, MONTH = Dec, YEAR = 1989, PAGES = "3--21" } @ARTICLE{ Allgower-1991, AUTHOR = "E. L. Allgower and C.-S. Chien and K. Georg and C.-F. Wang", TITLE = "Conjugate gradient methods for continuation problems", JOURNAL = JC&AM, VOLUME = 38, YEAR = 1991, PAGES = "1--16" } @BOOK{ Allwein-1996, EDITOR = "Gerard Allwein and Jon Barwise", TITLE = "Logical Reasoning with Diagrams", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1996 } @TECHREPORT{ Alpert-1990, AUTHOR = "Bradley K. Alpert", TITLE = "Rapidly-Convergent Quadratures for Integral Operators with Singular Kernels", INSTITUTION = "Lawrence Berkeley Laboratory", NUMBER = "LBL-30091", ADDRESS = "University of California", MONTH = Dec, YEAR = 1990 } @ARTICLE{ Alpert-1993, AUTHOR = "Bradley K. Alpert", TITLE = "A Class of Bases in {$L^2$} for the Sparse Representation of Integral Operators", JOURNAL = SIAM-JMA, VOLUME = 24, NUMBER = 1, MONTH = Jan, YEAR = 1993, PAGES = "246--262" } @ARTICLE{ Alpert-1993b, AUTHOR = "Bradley K. Alpert and G. Beylkin and R. Coifman and V. Rokhlin", TITLE = "Wavelet-like Bases for the fast solution of second-kind integral equations", JOURNAL = SIAM-JSC, VOLUME = 14, NUMBER = 1, MONTH = Jan, YEAR = 1993, PAGES = "159--184" } @BOOK{ Altmann-1977, AUTHOR = "Simon L. Altmann", TITLE = "Rotations, Quaternions, and Double Groups", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1977 } @BOOK{ AMS-Trans-10, AUTHOR = "American Mathematical Society", TITLE = "Functional Analysis and Measure Theory", SERIES = "Translations, Series 1", VOLUME = 10, PUBLISHER = AMS, ADDRESS = Prov, YEAR = 1962 } @ARTICLE{ Ando-1962, AUTHOR = "T. And{\^o}", TITLE = "On compactness of integral operators", JOURNAL = "Proceedings of the Academy of Science, Amsterdam", VOLUME = 65, YEAR = 1962, PAGES = "235--239" } @BOOK{ Andrews-1985, AUTHOR = "Larry C. Andrews", TITLE = "Special Functions for Engineers and Applied Mathematicians", PUBLISHER = Macmillan, ADDRESS = NY, YEAR = 1985 } @BOOK{ Andrews-1986, AUTHOR = "Peter B. Andrews", TITLE = "An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof", PUBLISHER = AP, ADDRESS = NY, YEAR = 1986 } @BOOK{ Andrews-1988, AUTHOR = "Larry C. Andrews and B. K. Shivamoggi", TITLE = "Integral Transforms for Engineers and Applied Mathematicians", PUBLISHER = Macmillan, ADDRESS = NY, YEAR = 1988 } @ARTICLE{ Anselone-1964, AUTHOR = "Philip M. Anselone and R. H. Moore", TITLE = "Approximate solution of integral and operator equations", JOURNAL = JMA&A, VOLUME = 9, YEAR = 1964, PAGES = "268--277" } @INCOLLECTION{ Anselone-1965, AUTHOR = "Philip M. Anselone", TITLE = "Convergence and error bounds for approximate solutions of integral and operator equations", BOOKTITLE = "Error in Digital Computation", VOLUME = 2, EDITOR = "L. B. Rall", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1965, PAGES = "231--252" } @ARTICLE{ Anselone-1965b, AUTHOR = "Philip M. Anselone and J. Gonzales-Fernandez", TITLE = "Uniformly Convergent Approximate Solutions of {Fredholm} Integral Equations", JOURNAL = JMA&A, VOLUME = 10, NUMBER = 3, MONTH = Jun, YEAR = 1965, PAGES = "519--536" } @BOOK{ Anselone-1971, AUTHOR = "Philip M. Anselone", TITLE = "Collectively Compact Operator Approximation Theory and Applications to Integral Equations", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1971 } @BOOK{ Apostol-1974, AUTHOR = "Tom M. Apostol", TITLE = "Mathematical Analysis", PUBLISHER = AW, EDITION = Second, ADDRESS = Reading, YEAR = 1974 } @ARTICLE{ Appel-1986, AUTHOR = "Kenneth Appel and Wolfgang Haken", TITLE = "The Four Color Proof Suffices", JOURNAL = MathIntel, VOLUME = 8, NUMBER = 1, YEAR = 1986, PAGES = "10--20" } @ARTICLE{ Arnold-1983, AUTHOR = "V. I. Arnold", TITLE = "Singularities of Systems of Rays", JOURNAL = "Russian Mathematics Surveys", VOLUME = 38, NUMBER = 2, YEAR = 1983, PAGES = "87--176" } @BOOK{ Arnold-1990, AUTHOR = "V. I. Arnold", TITLE = "Singularities of Caustics and Wave Fronts", PUBLISHER = Kluwer, ADDRESS = Boston, YEAR = 1990 } @BOOK{ Arnold-1996, AUTHOR = "A. Arnold and I. Guessarian", TITLE = "Mathematics for Computer Science", PUBLISHER = PH, ADDRESS = NY, YEAR = 1996 } @ARTICLE{ Aronszajn-1950, AUTHOR = "N. Aronszajn", TITLE = "Theory of Reproducing Kernels", JOURNAL = AMS-Tr, VOLUME = 68, YEAR = 1950, PAGES = "337--404" } @ARTICLE{ Ashour-1956, AUTHOR = "A. Ashour and A. Sabri", TITLE = "Tabulation of the function $\psi(\theta) = \sum_{n=1}^\infty \sin n \theta / n^2$", JOURNAL = MathTables, VOLUME = 10, NUMBER = 54, MONTH = Apr, YEAR = 1956, PAGES = "57--65" } @ARTICLE{ Atkinson-1973, AUTHOR = "Kendall E. Atkinson", TITLE = "Iterative variants of the {Nystr{\"o}m} method for the numerical solution of integral equations", JOURNAL = NumerMath, VOLUME = 22, YEAR = 1973, PAGES = "17--31" } @BOOK{ Atkinson-1976, AUTHOR = "Kendall E. Atkinson", TITLE = "A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1976 } @BOOK{ Aupetit-1991, AUTHOR = "Bernard Aupetit", TITLE = "A Primer on Spectral Theory", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1991 } @BOOK{ Auslander-1977, AUTHOR = "Lous Auslander and Robert E. {MacKenzie}", TITLE = "Introduction to Differentiable Manifolds", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1977 } @BOOK{ Aziz-1972, EDITOR = "A. K. Aziz", TITLE = "The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations", PUBLISHER = AP, ADDRESS = NY, YEAR = 1972 } @ARTICLE{ Babolian-1989, AUTHOR = "E. Babolian and L. M. Delves", TITLE = "Parallel solution of {Fredholm} integral equations", JOURNAL = "Parallel Computing", VOLUME = 12, YEAR = 1989, PAGES = "95--106" } @ARTICLE{ Baker-1997, AUTHOR = "John A. Baker", TITLE = "Integration Over Spheres and the Divergence Theorem for Balls", JOURNAL = AMM, VOLUME = 104, NUMBER = 1, MONTH = Jan, YEAR = 1997, PAGES = "36--47" } @BOOK{ Balakrishnan-1976, AUTHOR = "A. V. Balakrishnan", TITLE = "Applied Functional Analysis", SERIES = "Applications of Mathematics", NUMBER = 3, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1976 } @ARTICLE{ Banach-1924, AUTHOR = "S. Banach and A. Tarski", TITLE = "Sur la d{\'e}composition des ensembles de points en parties respectivement congruentes", JOURNAL = FundMath, VOLUME = 6, YEAR = 1924, PAGES = "244--277", Keywords = "Banach Tarski paradox" } @BOOK{ Banach-1987, AUTHOR = "Stefan S. Banach", TITLE = "Theory of Linear Operations", PUBLISHER = NH, ADDRESS = Amst, YEAR = 1987, NOTE = "Translated by F. Jellett" } @ARTICLE{ Barnabei-1985, AUTHOR = "Marilena Barnabei and Andrea Brini and Gian-Carlo Rota", TITLE = "On the Exterior Calculus of Invariant Theory", JOURNAL = JoA, VOLUME = 96, YEAR = 1985, PAGES = "120--160" } @BOOK{ Barnes-1982, AUTHOR = "B. A. Barnes and G. J. Murphy and M. R. F. Smyth and T. T. West", TITLE = "Riesz and Fredholm Theory in {Banach} Algebras", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1982 } @BOOK{ Barrett-1994, AUTHOR = "Richard Barrett and Michael Berry and Tony F. Chanand James Demmel and June Donato and Jack Dongarra and Victor Eijkhout and Roland Pozo and Charles Romine and Henk {van der Vorst}", TITLE = "Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1994 } @INCOLLECTION{ Barrodale-1974, AUTHOR = "I. Barrodale", TITLE = "Linear programming solutions to integral equations", BOOKTITLE = "Numerical Solution of Integral Equations", EDITOR = "L. M. Delves and J. Walsh", PUBLISHER = "Clarendon Press", ADDRESS = "Oxford", YEAR = 1974, PAGES = "97--107" } @ARTICLE{ Bartle-1955, AUTHOR = "Robert G. Bartle", TITLE = "On compactness in functional analysis", JOURNAL = AMS-Tr, VOLUME = 79, MONTH = May, YEAR = 1954, PAGES = "35--57" } @BOOK{ Bartle-1980, EDITOR = "R. G. Bartle", TITLE = "Studies in Functional Analysis", SERIES = "MAA Studies in Mathematics", VOLUME = 21, PUBLISHER = MAA, YEAR = 1980 } @BOOK{ Bartley-1977, EDITOR = "William Warren {Bartley, III}", TITLE = "Lewis Carroll's Symbolic Logic", PUBLISHER = "Clarkson N. Potter, Inc.", ADDRESS = NY, YEAR = 1977 } @INCOLLECTION{ Barwise-1993a, AUTHOR = "Jon Barwise", TITLE = "Heterogeneous Reasoning", BOOKTITLE = "Working Papers on Diagrams and Logic", EDITOR = "G. Allwein and J. Barwise", PUBLISHER = "Visual Inference Laboratory", ADDRESS = "Indiana University, Bloomington, Indiana", YEAR = 1993, PAGES = "1--13" } @INCOLLECTION{ Barwise-1993b, AUTHOR = "Jon Barwise and Eric Hammer", TITLE = "Diagrams and the Concept of Logical System", BOOKTITLE = "Working Papers on Diagrams and Logic", EDITOR = "G. Allwein and J. Barwise", PUBLISHER = "Visual Inference Laboratory", ADDRESS = "Indiana University, Bloomington, Indiana", YEAR = 1993, PAGES = "15--54" } @BOOK{ Barwise-1994, AUTHOR = "Jon Barwise and John Etchemendy", TITLE = "Hyperproof", PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1994 } @BOOK{ Barwise-1996, AUTHOR = "Jon Barwise and Lawrence Moss", TITLE = "Vicious Circles: On the Mathematics of Non-Wellfounded Phenomena", SERIES = "CSLI Lecture Notes", NUMBER = 60, PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1996 } @ARTICLE{ Bateman-1908, AUTHOR = "H. Bateman", TITLE = "A formula for the solving function of a certain integral equation of the second kind", JOURNAL = MessMath, VOLUME = 37, YEAR = 1908, PAGES = "179--187" } @ARTICLE{ Bateman-1910, AUTHOR = "H. Bateman", TITLE = "Report on the History and Present State of the Theory of Integral Equations", JOURNAL = "Report of the 18th Meeting of the British Association for the Advancement of Science", PAGES = "345--424", YEAR = 1910, MoreInfo = "Sheffield, August 31 -- September 7" } @ARTICLE{ Bateman-1922, AUTHOR = "H. Bateman", TITLE = "On the numerical solution of linear integral equations", JOURNAL = PRSL-A, VOLUME = 100, YEAR = 1922, PAGES = "441--449" } @ARTICLE{ Baumgardner-1985, AUTHOR = "J. R. Baumgardner and P. Frederickson", TITLE = "Icosahedral discretization of the two-sphere", JOURNAL = SIAM-JNA, VOLUME = 22, MONTH = Dec, YEAR = 1985, PAGES = "1107--1115" } @BOOK{ Bear-1995, AUTHOR = "H. S. Bear", TITLE = "A Primer of Lebesgue Integration", PUBLISHER = AP, ADDRESS = NY, YEAR = 1995 } @ARTICLE{ Beard-1947, AUTHOR = "R. E. Beard", TITLE = "Some Notes on Approximate Product-Integration", JOURNAL = "Journal of the Institute of Actuaries", VOLUME = 73, YEAR = 1947, PAGES = "356--416" } @BOOK{ Beaumont-1963, AUTHOR = "Ross A. Beaumont and Richard S. Pierce", TITLE = "The Algebraic Foundations of Mathematics", PUBLISHER = AW, ADDRESS = Reading, YEAR = 1963 } @BOOK{ Becker-1964, AUTHOR = "Martin Becker", TITLE = "The Principles and Applications of Variational Methods", PUBLISHER = MIT, ADDRESS = CambMass, YEAR = 1964 } @BOOK{ Behnke-1986, EDITOR = "H. Behnke and F. Bachmann and K. Fladt and W. S{\"u}ss", TITLE = "Fundamentals of Mathematics", PUBLISHER = MIT, ADDRESS = CambMass, NOTE = "Translated by S. H. Gould", YEAR = 1986 } @ARTICLE{ Bellman-1973, AUTHOR = "Richard Bellman and Magnus Giertz", TITLE = "On the Analytic Formalism of the Theory of Fuzzy Sets", JOURNAL = InfoSci, VOLUME = 5, YEAR = 1973, PAGES = "149--156" } @INCOLLECTION{ Ben-Israel-1976, AUTHOR = "Adi Ben-Israel and Thomas N. E. Greville", TITLE = "Some Topics in Generalized Inverses of Matrices", BOOKTITLE = "Generalized Inverses and Applications", EDITOR = "M. Z. Nashed", PUBLISHER = AP, ADDRESS = NY, YEAR = 1976, PAGES = "125--147" } @BOOK{ Benthem-1996, AUTHOR = "Johan {van Benthem}", TITLE = "Exploring Logical Dynamics", PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1996 } @BOOK{ Berberian-1974, AUTHOR = "Sterling K. Berberian", TITLE = "Lectures in Functional Analysis and Operator Theory", SERIES = "Graduate Texts in Mathematics", VOLUME = 15, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1974 } @INPROCEEDINGS{ Berge-1957, AUTHOR = "Claude Berge", TITLE = "Two theorems in graph theory", BOOKTITLE = PNAS-USA, VOLUME = 43, YEAR = 1957, PAGES = "842--844" } @BOOK{ Berge-1997, AUTHOR = "Claude Berge", TITLE = "Topological Spaces", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1997 } @BOOK{ Berger-1987, AUTHOR = "Marcel Berger", TITLE = "Geometry", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1987, NOTE = "Translated from the French by M. Cole and S. Levy" } @BOOK{ Berger-1987-II, AUTHOR = "Marcel Berger", TITLE = "Geometry", VOLUME = "II", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1987, NOTE = "Translated by M. Cole and S. Levy" } @ARTICLE{ Berger-1992, AUTHOR = "Marc A. Berger and Yang Wang", TITLE = "Bounded Semigroups of Matrices", JOURNAL = LAA, VOLUME = 166, YEAR = 1992, PAGES = "21--27" } @BOOK{ Berglund-1989, AUTHOR = "John F. Berglund and Hugo D. Junghenn and Paul Milnes", TITLE = "Analysis on Semigroups: Function Spaces, Compactifications, Representations", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1989, Keywords = "compact semigroups of operators, spaces of functions on semigroups" } @BOOK{ Bergman-1953, AUTHOR = "Stefan Bergman and M. Schiffer", TITLE = "Kernel Functions and Elliptic Differential Equations in Mathematical Physics", PUBLISHER = AP, ADDRESS = NY, YEAR = 1953 } @BOOK{ Berman-1994, AUTHOR = "Abraham Berman and Robert J. Plemmons", TITLE = "Nonnegative Matrices in the Mathematical Sciences", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1994 } @BOOK{ Bernays-1991, AUTHOR = "Paul Bernays", TITLE = "Axiomatic Set Theory", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1991 } @BOOK{ Beutelspacher-1998, AUTHOR = "Albrecht Beutelspacher and Ute Rosenbaum", TITLE = "Projective Geometry: From Foundations to Applications", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1998 } @ARTICLE{ Beylkin-1991, AUTHOR = "G. Beylkin and R. Coifman and V. Rokhlin", TITLE = "Fast wavelet transforms and numerical algorithms {I}", JOURNAL = CP&AM, VOLUME = 44, NUMBER = 2, MONTH = Mar, YEAR = 1991, PAGES = "141--183" } @BOOK{ Biggs-1976, AUTHOR = "Norman L. Biggs and E. Keith Lloyd and Robin J. Wilson", TITLE = "Graph Theory: 1736-1936", PUBLISHER = Clarendon, ADDRESS = NY, YEAR = 1976 } @BOOK{ Billingsley-1986, AUTHOR = "Patrick Billingsley", TITLE = "Probability and Measure", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1986 } @ARTICLE{ Birkhoff-1946, AUTHOR = "George D. Birkhoff and D. C. Lewis", TITLE = "Chromatic Polynomials", JOURNAL = AMS-Tr, VOLUME = 60, YEAR = 1946, PAGES = "355--451" } @ARTICLE{ Birkhoff-1957, AUTHOR = "Garrett Birkhoff", TITLE = "Extensions of {J}entzsch's Theorem", JOURNAL = AMS-Tr, VOLUME = 85, PAGES = "219--227", YEAR = 1957 } @BOOK{ Bishop-1980, AUTHOR = "Richard L. Bishop and Samuel I. Goldberg", TITLE = "Tensor Analysis on Manifolds", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1980 } @BOOK{ Bittanti-1991, EDITOR = "Sergio Bittanti and Alan J. Laub and Jan C. Willems", TITLE = "The Riccati Equation", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1991 } @BOOK{ Blyth-1986, AUTHOR = "T. S. Blyth", TITLE = "Categories", PUBLISHER = "Longman", ADDRESS = NY, YEAR = 1986 } @BOOK{ Boccara-1990, AUTHOR = "Nino Boccara", TITLE = "Functional Analysis, an Introduction for Physicists", PUBLISHER = AP, ADDRESS = NY, YEAR = 1990 } @BOOK{ Bocher-1926, AUTHOR = "Maxime B{\^o}cher", TITLE = "An Introduction to the Study of Integral Equations", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1926 } @BOOK{ Bollobas-1986, EDITOR = "B{\'e}la Bollob{\'a}s", TITLE = "Littlewood's Miscellany", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1986 } @BOOK{ Bollobas-1990, AUTHOR = "B{\'e}la Bollob{\'a}s", TITLE = "Linear Analysis: An Introductory Course", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1990 } @ARTICLE{ Bonsall-1958, AUTHOR = "F. F. Bonsall", TITLE = "Linear Operators in Complete Positive Cones", JOURNAL = PLMS, VOLUME = 8, YEAR = 1958, PAGES = "53--75" } @TECHREPORT{ Bonsall-1967, AUTHOR = "Frank F. Bonsall", TITLE = "Compact Linear Operators", INSTITUTION = "Yale University, Department of Mathematics", ADDRESS = NewHaven, YEAR = 1967 } @BOOK{ Boolos-1993, EDITOR = "George Boolos", TITLE = "The Logic of Provability", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1993 } @BOOK{ Booss-1985, AUTHOR = "Bernhelm Booss and D. D. Bleecker", TITLE = "Topology and Analysis, the Atiyah-Singer index formula and guage-theoretic physics", PUBLISHER = Springer, ADDRESS = NY, NOTE = "Translated by D. D. Bleecker and A. Mader", YEAR = 1985 } @BOOK{ Borden-1998, EDITOR = "Robert S. Borden", TITLE = "A Course in Advanced Calculus", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1998 } @BOOK{ Borisenko-1979, AUTHOR = "A. I. Borisenko and I. E. Tarpov", TITLE = "Vector and Tensor Analysis with Applications", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1979, NOTE = "Translated from the Russian by R. A. Silverman" } @BOOK{ Bowman-1958, AUTHOR = "Frank Bowman", TITLE = "Introduction to {Bessel} Functions", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1958 } @BOOK{ Brand-1947, AUTHOR = "Louis Brand", TITLE = "Vector and Tensor Analysis", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1947 } @INCOLLECTION{ Brass-1992, AUTHOR = "H. Brass", TITLE = "Error Bounds Based on Approximation Theory", BOOKTITLE = "Numerical Integration", EDITOR = "T. O. Esplid and A. Genz", PUBLISHER = Kluwer, ADDRESS = Boston, YEAR = 1992, PAGES = "147--163" } @BOOK{ Brenner-1994, AUTHOR = "Susanne C. Brenner and L. Ridgway Scott", TITLE = "The Mathematical Theory of Finite Element Methods", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1994 } @BOOK{ Briggs-1976, AUTHOR = "N. L. Briggs and E. K. Lloyd and R. J. Wilson", TITLE = "Graph Theory: 1736-1936", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1976 } @BOOK{ Bromwich-1906, AUTHOR = "Thomas J. {I'A}. Bromwich", TITLE = "Quadratic Forms and their Classification by means of Invariant-Factors", PUBLISHER = "Hafner Publishing Company", ADDRESS = NY, YEAR = 1906 } @INCOLLECTION{ Brown-1965, AUTHOR = "R. W. Brown", TITLE = "Upper and Lower Bounds for Solutions of Integral Equations", BOOKTITLE = "Error in Digital Computation", VOLUME = 2, EDITOR = "L. B. Rall", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1965, PAGES = "219--230" } @ARTICLE{ Brown-1992, AUTHOR = "J. L. Brown and A. J. Worsey", TITLE = "Problems in defining barycentric coordinates for the sphere", JOURNAL = MM&NA, VOLUME = 26, NUMBER = 1, YEAR = 1992, PAGES = "37--49" } @BOOK{ Bruce-1992, AUTHOR = "J. W. Bruce and P. J. Giblin", TITLE = "Curves and Singularities", EDITION = Second, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1992 } @INPROCEEDINGS{ Buchi-1962, AUTHOR = "J. Richard B{\"u}hi", TITLE = "On a Decision Method in Restricted Second Order Arithmetic", BOOKTITLE = "Proceedings of the International Congress on Logic, Methodology and Philosophy of Science", YEAR = 1962, ADDRESS = "Stanford, California", PAGES = "1--11" } @INCOLLECTION{ Buck-R-1959, AUTHOR = "R. Creighton Buck", TITLE = "Linear Spaces and Approximation Theory", BOOKTITLE = "On Numerical Approximation", EDITOR = "R. E. Langer", PUBLISHER = "University of Wisconsin Press", YEAR = 1959, PAGES = "11--23" } @BOOK{ Buck-R-1978, AUTHOR = "R. Creighton Buck", TITLE = "Advanced Calculus", EDITION = Third, PUBLISHER = MH, ADDRESS = NY, YEAR = 1978 } @ARTICLE{ Buckner-1948, AUTHOR = "Hans B{\"u}ckner", TITLE = "A special method of successive approximations for {Fredholm} integral equations", JOURNAL = DMJ, VOLUME = 15, YEAR = 1948, PAGES = "197--206" } @ARTICLE{ Burbea-1974, AUTHOR = "Jacob Burbea", TITLE = "Total Positivity and Reproducing Kernels", JOURNAL = PJM, VOLUME = 55, NUMBER = 2, YEAR = 1974, PAGES = "343--359" } @ARTICLE{ Burbea-1976, AUTHOR = "Jacob Burbea", TITLE = "Total positivity of certain reproducting kernels", JOURNAL = PJM, VOLUME = 67, NUMBER = 1, YEAR = 1976, PAGES = "101--130" } @BOOK{ Burke-1985, AUTHOR = "William L. Burke", TITLE = "Applied differential geometry", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1985 } @BOOK{ Butzer-1967, AUTHOR = "Paul L. Butzer and Hubert Berens", TITLE = "Semi-Groups of Operators and Approximation", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1967 } @BOOK{ Cameron-1996, AUTHOR = "Peter J. Cameron", TITLE = "Combinatorics: Topics, Techniques, Algorithms", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1996 } @BOOK{ Campbell-1991, AUTHOR = "S. L. Campbell and C. D. {Meyer, Jr.}", TITLE = "Generalized Inverses of Linear Transformations", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1991 } @ARTICLE{ Carl-1982, AUTHOR = "Bernd Carl", TITLE = "Inequalities between geometric quantities of operators in {Banach} spaces", JOURNAL = IE&OT, VOLUME = 5, YEAR = 1982, PAGES = "759--773" } @ARTICLE{ Carlson-1975, AUTHOR = "B. C. Carlson", TITLE = "Invariance of an Integral Average of a Logarithm", JOURNAL = AMM, VOLUME = 82, NUMBER = 4, MONTH = Apr, YEAR = 1975, PAGES = "379--382" } @BOOK{ Carmichael-1989, AUTHOR = "Richard D. Carmichael and Dragi{\v s}a Mitrovi{\'c}", TITLE = "Distributions and Analytic Functions", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1989 } @BOOK{ Carnap-1956, AUTHOR = "Rudolf Carnap", TITLE = "Meaning and Necessity: A Study in Semantics and Modal Logic", EDITION = Second, PUBLISHER = UCP, ADDRESS = Chicago, YEAR = 1956 } @BOOK{ Carnap-1958, AUTHOR = "Rudolf Carnap", TITLE = "Introduction to Symbolic Logic and its Applications", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1958 } @BOOK{ Cartan-1967, AUTHOR = "Henri Paul Cartan", TITLE = "Formes differentielles", PUBLISHER = "Hermann", ADDRESS = "Paris", YEAR = 1967, Keywords = "differential forms" } @BOOK{ Cartan-1981, AUTHOR = "{\'E}lie Cartan", TITLE = "The Theory of Spinors", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1981 } @BOOK{ Cartan-1995, AUTHOR = "Henri Cartan", TITLE = "Elementary Theory of Analytic Functions of One or Several Complex Variables", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1995 } @BOOK{ Carter-1995, AUTHOR = "J. Scott Carter and Daniel E. Flath", TITLE = "The Classical and Quantum 6j-Symbols", PUBLISHER = PUP, ADDRESS = Princeton, YEAR = 1995 } @ARTICLE{ Cayley-1857, AUTHOR = "A. Cayley", TITLE = "On the Theory of the Analytical Forms Called Trees", JOURNAL = PhMg, VOLUME = 13, YEAR = 1857, PAGES = "172--176" } @ARTICLE{ Cayley-1859, AUTHOR = "A. Cayley", TITLE = "On the Analytical Forms Called Trees -- {Part II}", JOURNAL = PhMg, VOLUME = 18, NUMBER = 4, YEAR = 1859, PAGES = "374--378" } @ARTICLE{ Cayley-1878, AUTHOR = "A. Cayley", TITLE = "The theory of groups: graphical representation", JOURNAL = AJM, VOLUME = 1, YEAR = 1878, PAGES = "174--176" } @ARTICLE{ Cayley-1879, AUTHOR = "A. Cayley", TITLE = "On the Colouring of Maps", JOURNAL = "Proceedings of the Royal Geographical Society", VOLUME = 1, YEAR = 1879, PAGES = "259--261", Comments = "First to explain the difficulty of proving the 4-color theorem" } @BOOK{ Chaitin-1998, AUTHOR = "Gregory J. Chaitin", TITLE = "The Limits of Mathematics: A Course in Information Theory and the Limits of Formal Reasoning", PUBLISHER = Springer, ADDRESS = "Singapore", YEAR = 1998 } @BOOK{ Chaitin-1999, AUTHOR = "Gregory J. Chaitin", TITLE = "The Unknowable", PUBLISHER = Springer, ADDRESS = "Singapore", YEAR = 1999 } @ARTICLE{ Chandler-1984, AUTHOR = "G. A. Chandler", TITLE = "{Galerkin's} method for boundary integral equations on polygonal domains", JOURNAL = JAMS-B, VOLUME = 26, YEAR = 1984, PAGES = "1--13", Keywords = "double layer potential, corner singularities, graded mesh" } @PHDTHESIS{ Chandra-1978-Thesis, AUTHOR = "Rati Chandra", TITLE = "Conjugate Gradient Methods for Partial Differential Equations", SCHOOL = "Yale University", MONTH = Jan, YEAR = 1978, Comments = "Research Report #129" } @BOOK{ Chartrand-1985, AUTHOR = "Gary Chartrand", TITLE = "Introductory Graph Theory", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1985 } @ARTICLE{ Chekanov-1986, AUTHOR = "Yu. V. Chekanov", TITLE = "Caustics in Geometrical Optics", JOURNAL = FA&A, VOLUME = 20, YEAR = 1986, PAGES = "223--226" } @BOOK{ Chellas-1980, AUTHOR = "Brian F. Chellas", TITLE = "Modal Logic: An Introduction", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1980 } @ARTICLE{ Chow-1978, AUTHOR = "Shui-Nee Chow and John Mallet-Paret and James A. York", TITLE = "Finding Zeros of Maps: Homotopy Methods That Are Constructive With Probability One", JOURNAL = MComp, VOLUME = 32, NUMBER = 143, MONTH = Jul, YEAR = 1978, PAGES = "887--899" } @BOOK{ Chung-1997, AUTHOR = "Fan R. K. Chung", TITLE = "Spectral Graph Theory", SERIES = "Regional Conference Series in Mathematics", VOLUME = 92, PUBLISHER = AMS, ADDRESS = Prov, YEAR = 1997 } @BOOK{ Church-1996, AUTHOR = "Alonzo Church", TITLE = "Introduction to Mathematical Logic", PUBLISHER = PUP, ADDRESS = Princeton, YEAR = 1996, NOTE = "Originally published in 1944" } @BOOK{ Churchill-1987, AUTHOR = "Ruel V. Churchill and James Ward Brown", TITLE = "Fourier Series and Boundary Value Problems", PUBLISHER = MH, ADDRESS = NY, YEAR = 1987 } @ARTICLE{ Ciarlet-1972, AUTHOR = "Philippe G. Ciarlet and P. A. Raviart", TITLE = "General {Lagrange} and {Hermite} Interpolation in {$R^n$} with Applications to Finite Element Methods", JOURNAL = ARM&A, VOLUME = 46, YEAR = 1972, PAGES = "177--199" } @ARTICLE{ Ciarlet-1972b, AUTHOR = "Philippe G. Ciarlet and P. A. Raviart", TITLE = "Interpolation Theory Over Curved Elements, with Applications to Finite Element Methods", JOURNAL = CMAME, VOLUME = 1, YEAR = 1972, PAGES = "217--249" } @BOOK{ Ciarlet-1978, AUTHOR = "Philippe G. Ciarlet", TITLE = "The Finite Element Method for Elliptic Problems", PUBLISHER = NH, ADDRESS = NY, YEAR = 1978 } @BOOK{ Clark-1984, AUTHOR = "Allan Clark", TITLE = "Elements of Abstract Algebra", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1984 } @ARTICLE{ Clausen-1832, AUTHOR = "Clausen", TITLE = "{\"u}ber die {Function} $\sin\phi + \frac{1}{2^2}\sin 2\phi$ etc.", JOURNAL = JPAM, VOLUME = 8, YEAR = 1832, PAGES = "298--300" } @INCOLLECTION{ Collatz-1965, AUTHOR = "L. Collatz", TITLE = "Applications of Functional Analysis to Error Estimation", BOOKTITLE = "Error in Digital Computation", VOLUME = 2, EDITOR = "L. B. Rall", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1965, PAGES = "253--269" } @BOOK{ Collatz-1966, AUTHOR = "Lothar Collatz", TITLE = "Functional Analysis and Numerical Mathematics", PUBLISHER = AP, ADDRESS = NY, YEAR = 1966 } @BOOK{ Colton-1983, AUTHOR = "David Colton and Rainer Kress", TITLE = "Integral Equation Methods in Scattering Theory", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1983 } @BOOK{ Conte-1980, AUTHOR = "Samuel D. Conte and Carl {de Boor}", TITLE = "Elementary Numerical Analysis", PUBLISHER = MH, ADDRESS = NY, YEAR = 1980 } @BOOK{ Corduneanu-1991, AUTHOR = "C. Corduneanu", TITLE = "Integral Equations and Applications", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1991 } @BOOK{ Courant-1941, AUTHOR = "Richard Courant and Herbert Robbins", TITLE = "What is Mathematics? An Elementary Approach to Ideas and Methods", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1941 } @BOOK{ Crossley-1990, AUTHOR = "J. N. Crossley and C. J. Ash and C. J. Brickhill and J. C. Stillwell and N. H. Williams", TITLE = "What is Mathematical Logic?", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1990 } @BOOK{ Crowe-1994, AUTHOR = "Michael J. Crowe", TITLE = "A History of Vector Analysis", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1994 } @BOOK{ Cullen-1990, AUTHOR = "Charles G. Cullen", TITLE = "Matrices and Linear Transformations", EDITION = Second, PUBLISHER = Dover, ADDRESS = NY, YEAR = 1990 } @BOOK{ Curry-1957, AUTHOR = "Haskell B. Curry", TITLE = "A Theory of Formal Deducibility", SERIES = "Notre Dame Mathematical Lectures", NUMBER = 6, PUBLISHER = "Notre Dame", ADDRESS = "Indiana", YEAR = 1957 } @BOOK{ Curry-1977, AUTHOR = "Haskell B. Curry", TITLE = "Foundations of Mathematical Logic", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1977 } @ARTICLE{ Curtis-1971, AUTHOR = "Edward B. Curtis", TITLE = "Simplicial Homotopy Theory", JOURNAL = "Advances in Mathematics", VOLUME = 6, NUMBER = 2, MONTH = Apr, YEAR = 1971, PAGES = "107--209" } @ARTICLE{ Curtis-1974, AUTHOR = "A. R. Curtis and M. J. D. Powell and J. K. Reid", TITLE = "On the estimation of Sparse {Jacobian} Matrices", JOURNAL = "J. Inst. Maths Applics", VOLUME = 13, YEAR = 1974, PAGES = "117--119" } @BOOK{ Cushing-1975, AUTHOR = "James T. Cushing", TITLE = "Applied Analytical Mathematics for Physical Scientists", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1975 } @BOOK{ Cvetkovic-1980, AUTHOR = "Drago\v{s} M. Cvetkovi{\'c} and Michael Doob and Horst Sachs", TITLE = "Spectra of Graphs: Theory and Applications", PUBLISHER = AP, ADDRESS = NY, YEAR = 1980 } @BOOK{ Daehlen-1995, EDITOR = "Morten D{\ae}hlen and Tom Lyche and Larry L. Schumaker", TITLE = "Mathematical Methods for Curves and Surfaces", PUBLISHER = "Vanderbilt University Press", ADDRESS = "Nashville", YEAR = 1995 } @ARTICLE{ Daubechies-1988, AUTHOR = "Ingrid Daubechies", TITLE = "Time-Frequency Localization Operators: A Geometric Phase Space Approach", JOURNAL = IEEE-TIT, VOLUME = 34, NUMBER = 4, MONTH = Jul, YEAR = 1988, PAGES = "605--612", Keywords = "wavelets" } @ARTICLE{ Daubechies-1990, AUTHOR = "Ingrid Daubechies", TITLE = "The Wavelet Transform, Time-Frequency Localization and Signal Analysis", JOURNAL = IEEE-TIT, VOLUME = 36, NUMBER = 5, MONTH = Sep, YEAR = 1990, PAGES = "961--1005", Keywords = "wavelets" } @BOOK{ Daubechies-1992, AUTHOR = "Ingrid Daubechies", TITLE = "Ten Lectures on Wavelets", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1992 } @ARTICLE{ Davie-1973, AUTHOR = "A. M. Davie", TITLE = "The Approximation Problem for {Banach} Spaces", JOURNAL = BLMS, VOLUME = 5, NUMBER = 15, MONTH = Nov, YEAR = 1973, PAGES = "261--266" } @BOOK{ Davies-1980, AUTHOR = "Alan J. Davies", TITLE = "The Finite Element Method; A First Approach", PUBLISHER = Clarendon, ADDRESS = "Oxford", YEAR = 1980 } @BOOK{ Davis-1981, AUTHOR = "Philip J. Davis and Reuben Hersh", TITLE = "The Mathematical Experience", PUBLISHER = HtnMif, ADDRESS = Boston, YEAR = 1981 } @BOOK{ Davis-H-1975, AUTHOR = "Harry F. Davis and Arthur D. Snider", TITLE = "Introduction to Vector Analysis", EDITION = Third, PUBLISHER = "Allyn and Bacon, Inc.", ADDRESS = Boston, YEAR = 1975 } @BOOK{ Davis-P-1975, AUTHOR = "Philip J. Davis", TITLE = "Interpolation and Approximation", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1975 } @BOOK{ Davis-P-1984, AUTHOR = "P. J. Davis and P. Rabinowitz", TITLE = "Methods of Numerical Integration", PUBLISHER = AP, ADDRESS = NY, YEAR = 1984 } @ARTICLE{ Dawson-1979, AUTHOR = "John Dawson", TITLE = "The G{\"o}del Incompleteness Theorem from a Length-of Proof Perspective", JOURNAL = AMM, VOLUME = 86, NUMBER = 9, YEAR = 1979, PAGES = "740--747" } @ARTICLE{ Day-1940, AUTHOR = "Mahlon M. Day", TITLE = "The spaces {$L^p$} with $0 < p < 1$", JOURNAL = BAMS, VOLUME = 46, MONTH = Oct, YEAR = 1940, PAGES = "816--823" } @BOOK{ De-lin-1994, AUTHOR = "Ren De-lin", TITLE = "Topics in Integral Geometry", PUBLISHER = WorldSci, ADDRESS = NY, YEAR = 1994 } @BOOK{ deBoor-1993a, AUTHOR = "Carl {de Boor} and K. H{\"o}llig and S. Riemenschneider", TITLE = "Box Splines", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1993 } @INCOLLECTION{ deBoor-1993b, AUTHOR = "Carl {de Boor}", TITLE = "Multivariate piecewise polynomials", BOOKTITLE = "Acta Numerica 1993", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1993, PAGES = "65--109" } @ARTICLE{ deDoelder-1984, AUTHOR = "P. J. {de Doelder}", TITLE = "On the {Clausen} integral {$Cl_2(\theta)$} and a related integral", JOURNAL = JC&AM, VOLUME = 11, YEAR = 1984, PAGES = "325--330" } @BOOK{ Delves-1974, EDITOR = "L. M. Delves and J. Walsh", TITLE = "Numerical Solution of Integral Equations", PUBLISHER = "Clarendon Press", ADDRESS = "Oxford", YEAR = 1974 } @INCOLLECTION{ Delves-1974a, AUTHOR = "L. M. Delves", TITLE = "Function Spaces and Linear Operators", BOOKTITLE = "Numerical Solution of Integral Equations", EDITOR = "L. M. Delves and J. Walsh", PUBLISHER = "Clarendon Press", ADDRESS = "Oxford", YEAR = 1974, PAGES = "41--53" } @BOOK{ Delves-1985, AUTHOR = "L. M. Delves and J. L. Mohamed", TITLE = "Computational Methods for Integral Equations", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1985 } @BOOK{ Delvos-1989, AUTHOR = "F-J Delvos and W Schempp", TITLE = "Boolean methods in interpolation and approximation", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1989 } @BOOK{ Dettman-1965, AUTHOR = "John W. Dettman", TITLE = "Applied Complex Variables", PUBLISHER = Macmillan, ADDRESS = NY, YEAR = 1965 } @ARTICLE{ Deutsch-1981, AUTHOR = "Emeric Deutsch", TITLE = "Bounds for the Zeros of Polynomials", JOURNAL = AMM, VOLUME = 88, NUMBER = 3, YEAR = 1981, PAGES = "205--206" } @BOOK{ DeVito-1990, AUTHOR = "Carl L {DeVito}", TITLE = "Functional Analysis and Linear Operator Theory", PUBLISHER = AW, ADDRESS = NY, YEAR = 1990 } @BOOK{ Devlin-1993, AUTHOR = "Keith Devlin", TITLE = "The Joy of Sets: Fundamentals of Contemporary Set Theory", EDITION = Second, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1993 } @BOOK{ Dieudonne-1980, AUTHOR = "Jean Dieudonn{\'e}", TITLE = "Special Functions and Linear Representations of Lie Groups", SERIES = "Regional Conference Series in Mathematics", NUMBER = 42, PUBLISHER = AMS, ADDRESS = Prov, YEAR = 1980 } @BOOK{ Dieudonne-1981, AUTHOR = "Jean Alexandre Dieudonn{\'e}", TITLE = "History of Functional Analysis", PUBLISHER = NH, ADDRESS = NY, YEAR = 1981 } @BOOK{ Dixon-1973, AUTHOR = "John D. Dixon", TITLE = "Problems in Group Theory", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1973 } @BOOK{ Doob-1991, AUTHOR = "J. L. Doob", TITLE = "Measure Theory", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1991 } @BOOK{ Dornhoff-1978, AUTHOR = "Larry L. Dornhoff and Franz E. Hohn", TITLE = "Applied Modern Algebra", PUBLISHER = Macmillan, ADDRESS = NY, YEAR = 1978 } @BOOK{ Drake-1996, AUTHOR = "F. R. Drake and D. Singh", TITLE = "Intermediate Set Theory", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1996 } @BOOK{ Drazin-1989, AUTHOR = "P. G. Drazin and R. S. Johnson", TITLE = "Solitons: An Introduction", SERIES = CTAM, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1989 } @ARTICLE{ Drucker-1992, AUTHOR = "Daniel Drucker", TITLE = "Reflection Properties of Curves and Surfaces", JOURNAL = MathMag, VOLUME = 65, NUMBER = 3, MONTH = Jun, YEAR = 1992, PAGES = "147--157" } @ARTICLE{ Dubins-1969, AUTHOR = "L. E. Dubins", TITLE = "An Elementary Proof of {Bochner's} Finitely Additive {Radon-Nikodym} Theorem", JOURNAL = AMM, VOLUME = 76, YEAR = 1969, PAGES = "520--523" } @BOOK{ Dubinsky-1994, AUTHOR = "Ed Dubinsky and Uri Leron", TITLE = "Learning Abstract Algebra with ISETL", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1994 } @ARTICLE{ Dunford-1936, AUTHOR = "Nelson Dunford", TITLE = "Integration and Linear Operators", JOURNAL = AMS-Tr, VOLUME = 40, NUMBER = 3, YEAR = 1936, PAGES = "474--494" } @BOOK{ Dunford-1967, AUTHOR = "Nelson Dunford and Jacob T. Schwartz", TITLE = "Linear Operators", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1967 } @BOOK{ Dunford-1967-I, AUTHOR = "Nelson Dunford and Jacob T. Schwartz", TITLE = "Linear Operators. Part I: General Theory", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1967 } @BOOK{ Dunford-1967-II, AUTHOR = "Nelson Dunford and Jacob T. Schwartz", TITLE = "Linear Operators. Part II: Spectral Theory", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1967 } @BOOK{ Dunford-1967-III, AUTHOR = "Nelson Dunford and Jacob T. Schwartz", TITLE = "Linear Operators. Part III: Spectral Operators", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1967 } @ARTICLE{ Eaves-1972, AUTHOR = "B. Curtis Eaves", TITLE = "Homotopies for Computation of Fixed Points", JOURNAL = MathProg, VOLUME = 1, YEAR = 1972, PAGES = "1--22" } @ARTICLE{ Eberlein-1947, AUTHOR = "W. F. Eberlein", TITLE = "Weak Compactness in {Banach} Spaces {I}", JOURNAL = PNAS, YEAR = 1947, PAGES = "51--53" } @BOOK{ Eccles-1997, AUTHOR = "Peter J. Eccles", TITLE = "An Introduction to Mathematical Reasoning", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1997 } @BOOK{ Edelen-1985, AUTHOR = "Dominic G. B. Edelen", TITLE = "Applied Exterior Calculus", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1985, Keywords = "differential forms" } @BOOK{ Edgar-1990, AUTHOR = "Gerald A. Edgar", TITLE = "Measure, Topology, and Fractal Geometry", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1990 } @BOOK{ Edwards-1973, AUTHOR = "C. H. {Edwards, Jr.}", TITLE = "Advanced Calculus of Several Variables", PUBLISHER = AP, ADDRESS = NY, YEAR = 1973 } @BOOK{ Edwards-1995, AUTHOR = "R. E. Edwards", TITLE = "Functional Analysis, Theory and Applications", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1995 } @ARTICLE{ Emelyanov-1967, AUTHOR = "K. V. Emel'yanov and A. M. Il'in", TITLE = "Number of arithmetic operations necessary for the approximate solution of {Fredholm} integral equations of the second kind", JOURNAL = "USSR Computational Mathematics and Mathematical Physics", VOLUME = 7, NUMBER = 4, YEAR = 1967, PAGES = "259--267" } @ARTICLE{ Enflo-1973, AUTHOR = "Per Enflo", TITLE = "A counterexample to the approximation problem in {Banach} spaces", JOURNAL = ActaMath, VOLUME = 130, YEAR = 1973, PAGES = "309--317" } @ARTICLE{ Erdelyi-1940, AUTHOR = "A. Erdelyi and I. M. H. Etherington", TITLE = "Some problems of non-associative combinations {II}", JOURNAL = EMN, VOLUME = 32, YEAR = 1940, PAGES = "7--12" } @ARTICLE{ Erdos-1966, AUTHOR = "P. Erd{\"o}s and M. Simonovits", TITLE = "A Limit Theorem in Graph Theory", JOURNAL = "Studia Scientiarum Mathematicarum Hungarica", VOLUME = 1, YEAR = 1966, PAGES = "51--57" } @ARTICLE{ Etherington-1939, AUTHOR = "I. M. H. Etherington", TITLE = "On Non-associative Combinations", JOURNAL = PRSE-A, VOLUME = 59, YEAR = 1939, PAGES = "153--162" } @ARTICLE{ Etherington-1940, AUTHOR = "I. M. H. Etherington", TITLE = "Some problems of non-associative combinations {I}", JOURNAL = EMN, VOLUME = 32, YEAR = 1940, PAGES = "1--6" } @BOOK{ Evans-1992, AUTHOR = "Lawrence C. Evans and Ronald F. Gariepy", TITLE = "Measure Theory and Fine Properties of Functions", PUBLISHER = CRC, ADDRESS = "Ann Arbor, Michigan", YEAR = 1992 } @BOOK{ Ewing-1969, AUTHOR = "George M. Ewing", TITLE = "Calculus of Variations with Applications", PUBLISHER = "W. W. Norton", ADDRESS = NY, YEAR = 1969 } @BOOK{ Falconer-1990, AUTHOR = "Kenneth Falconer", TITLE = "Fractal Geometry: Mathematical Foundations and Applications", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1990 } @BOOK{ Farlow-1993, AUTHOR = "Stanley J. Farlow", TITLE = "Partial Differential Equations for Scientists and Engineers", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1993 } @ARTICLE{ Fasenmyer-1947, AUTHOR = "Sister Mary Celine Fasenmyer", TITLE = "Some Generalized Hypergeometric Polynomials", JOURNAL = BAMS, VOLUME = 53, MONTH = Aug, YEAR = 1947, PAGES = "806--812" } @ARTICLE{ Fasenmyer-1949, AUTHOR = "Sister Mary Celine Fasenmyer", TITLE = "A Note on Pure Recurrence Relations", JOURNAL = AMM, VOLUME = 56, NUMBER = 1, MONTH = Jan, YEAR = 1949, PAGES = "14--17" } @BOOK{ Federer-1969, AUTHOR = "Herbert Federer", TITLE = "Geometric Measure Theory", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1969 } @ARTICLE{ Feferman-1979, AUTHOR = "Solomon Feferman", TITLE = "What Does Logic Have to Tell us about Mathematical Proofs?", JOURNAL = MathIntel, VOLUME = 2, NUMBER = 4, YEAR = 19879, PAGES = "20--24" } @ARTICLE{ Feferman-1999, AUTHOR = "Solomon Feferman", TITLE = "Does Mathematics Need New Axioms?", JOURNAL = AMM, VOLUME = 106, NUMBER = 2, MONTH = Feb, YEAR = 1999, PAGES = "99--111" } @ARTICLE{ Feller-1954, AUTHOR = "W. Feller", TITLE = "The General Diffusion Operator and Positivity Preserving Semi-Groups in One Dimension", JOURNAL = AnMa, VOLUME = 60, NUMBER = 3, MONTH = Nov, YEAR = 1954, PAGES = "417--436" } @BOOK{ Fine-1988, EDITOR = "Mathan J. Fine", TITLE = "Basic Hypergeometric Series and Applications", SERIES = "Mathematical Surveys and Monographs", VOLUME = 27, PUBLISHER = AMS, ADDRESS = Prov, YEAR = 1988 } @ARTICLE{ Flanders-1968, AUTHOR = "Harley Flanders", TITLE = "The Optical Property of the Conics", JOURNAL = AMM, VOLUME = 75, NUMBER = 4, MONTH = Apr, YEAR = 1968, PAGES = 399 } @BOOK{ Flanders-1989, AUTHOR = "Harley Flanders", TITLE = "Differential Forms with Applications to the Physical Sciences", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1989 } @BOOK{ Folland-1995, AUTHOR = "Gerald B. Folland", TITLE = "Introduction to Partial Differential Equations", PUBLISHER = PUP, ADDRESS = Princeton, YEAR = 1995 } @BOOK{ Forsythe-1977, AUTHOR = "George E. Forsythe and Michael A. Malcolm and Cleve B. Moler", TITLE = "Computer Methods for Mathematical Computations", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1977 } @ARTICLE{ Fox-1953, AUTHOR = "L. Fox and E. T. Goodwin", TITLE = "The numerical solution of non-singular linear integral equations", JOURNAL = PTRSL-A, VOLUME = 245, YEAR = 1953, PAGES = "501--534" } @BOOK{ Fox-1987, AUTHOR = "Charles Fox", TITLE = "An Introduction to the Calculus of Variations", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1987 } @ARTICLE{ Fredholm-1903, AUTHOR = "Ivar Fredholm", TITLE = "Sur une classe d'{\'e}quations fonctionnelles", JOURNAL = ActaMath, VOLUME = 27, YEAR = 1903, PAGES = "365--390" } @BOOK{ Freund-1987, AUTHOR = "John E. Freund and Ronald E. Walpole", TITLE = "Mathematical Statistics", EDITION = Fourth, PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1987 } @BOOK{ Fried-1979, AUTHOR = "Isaac Fried", TITLE = "Numerical Solution of Differential Equations", PUBLISHER = AP, ADDRESS = NY, YEAR = 1979 } @BOOK{ Friedman-1956, AUTHOR = "Bernard Friedman", TITLE = "Principles and Techniques of Applied Mathematics", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1956 } @BOOK{ Friedman-1982, AUTHOR = "Avner Friedman", TITLE = "Foundations of Modern Analysis", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1982 } @BOOK{ Gamelin-1983, AUTHOR = "Theodore W. Gamelin and Robert Everist Greene", TITLE = "Introduction to Topology", PUBLISHER = "Saunders College Publishing", ADDRESS = NY, YEAR = 1983 } @ARTICLE{ Garcia-1980, AUTHOR = "C. B. Garcia and F. J. Gould", TITLE = "Relations between several path following algorithms and local and global {Newton} methods", JOURNAL = SIAM-Rev, VOLUME = 22, NUMBER = 3, MONTH = Jul, YEAR = 1980, PAGES = "263--274" } @BOOK{ Garcia-1981, AUTHOR = "C. B. Garcia and W. I. Zangwill", TITLE = "Pathways to Solutions, Fixed Points, and Equilibria", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1981 } @ARTICLE{ Gardner-1989, AUTHOR = "Richard J. Gardner and Stan Wagon", TITLE = "At Long Last, the Circle Has Been Squared", JOURNAL = NAMS, VOLUME = 36, NUMBER = 10, YEAR = 1989, PAGES = "1338--1343" } @BOOK{ Gardner-1995, AUTHOR = "Richard J. Gardner", TITLE = "Geometric Tomography", SERIES = "Encyclopedia of Mathematics and its Applications", VOLUME = 58, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1995 } @BOOK{ Gasper-1990, AUTHOR = "George Gasper and Mizan Rahman", TITLE = "Basic Hypergeometric Series", PUBLISHER = CUP, SERIES = "Encyclopedia of Mathematics and its Applications", VOLUME = 35, ADDRESS = NY, YEAR = 1990 } @BOOK{ Gear-1971, AUTHOR = "C. William Gear", TITLE = "Numerical Initial Value Problems in Ordinary Differential Equations", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1971 } @BOOK{ Gelbaum-1964, AUTHOR = "Bernard R. Gelbaum and John M. H. Olmsted", TITLE = "Counterexamples in Analysis", PUBLISHER = "Holden-Day", ADDRESS = SanFran, YEAR = 1964 } @BOOK{ Gelbaum-1990, AUTHOR = "Bernard R. Gelbaum and John M. H. Olmsted", TITLE = "Theorems and Counterexamples in Mathematics", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1990 } @BOOK{ Gelfand-1964-I, AUTHOR = "I. M. Gelfand and G. E. Shilov", TITLE = "Generalized functions", VOLUME = 1, PUBLISHER = AP, ADDRESS = NY, YEAR = 1964 } @BOOK{ Gierz-1980, AUTHOR = "G. Gierz and K. H. Hofmann and K. Keimel and J. D. Lawson and M. Mislove and D. S. Scott", TITLE = "A Compendium of Continuous Lattices", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1980 } @BOOK{ Girard-1989, AUTHOR = "Jean-Yves Girard and Yves Lafont and Paul Taylor", TITLE = "Proofs and Types", SERIES = CTTCS, VOLUME = 7, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1989 } @INCOLLECTION{ Godel-1965, AUTHOR = "Kurt G{\"o}del", TITLE = "On Undecidable Propositions of Formal Mathematical Systems", BOOKTITLE = "The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions", EDITOR = "Martin Davis", PUBLISHER = "Raven Press", ADDRESS = NY, YEAR = 1965, PAGES = "41--74", NOTE = "From mimeographed notes on lectures given by G{\"o}del in 1934" } @BOOK{ Godel-1992, AUTHOR = "Kurt G{\"o}del", TITLE = "On Formally Undecidable Propositions of Principia Mathematica and Related Systems", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1992, NOTE = "Originally published in 1931" } @ARTICLE{ Golberg-1976, AUTHOR = "Michael A. Golberg", TITLE = "The Conversion of {Fredholm} Integral Equations to Equivalent {Cauchy} Problems", JOURNAL = AM&C, VOLUME = 2, NUMBER = 1, YEAR = 1976, PAGES = "1--18" } @ARTICLE{ Golberg-1977, AUTHOR = "Michael A. Golberg", TITLE = "The Conversion of {Fredholm} Integral Equations to Equivalent {Cauchy} Problems {II}. {Computation} of Resolvents", JOURNAL = AM&C, VOLUME = 3, NUMBER = 1, YEAR = 1977, PAGES = "39--58" } @INCOLLECTION{ Golberg-1979, AUTHOR = "Michael A. Golberg", TITLE = "A Survey of Numerical Methods for Integral Equations", BOOKTITLE = "Solution methods for integral equations: Theory and applications", EDITOR = "M. A. Golberg", PUBLISHER = Plenum, ADDRESS = NY, YEAR = 1979, PAGES = "1--58" } @BOOK{ Goldberg-1985, AUTHOR = "Seymour Goldberg", TITLE = "Unbounded Linear Operators", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1985 } @BOOK{ Goldblatt-1992, AUTHOR = "Robert Goldblatt", TITLE = "Logics of Time and Computation", EDITION = Second, SERIES = "CSLI Lecture Notes", NUMBER = 7, PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1992 } @BOOK{ Goldblatt-1993, AUTHOR = "Robert Goldblatt", TITLE = "Mathematics of Modality", SERIES = "CSLI Lecture Notes", NUMBER = 43, PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1993 } @BOOK{ Goldstern-1998, AUTHOR = "Martin Goldstern and Haim Judah", TITLE = "The Incompleteness Phenomenon: A New Course in Mathematical Logic", PUBLISHER = AKP, ADDRESS = NY, YEAR = 1998 } @INCOLLECTION{ Golomb-1959, AUTHOR = "Michael Golomb and Hans F. Weinberg", TITLE = "Optimal Approximation and Error Bounds", BOOKTITLE = "On Numerical Approximation", EDITOR = "R. E. Langer", PUBLISHER = "University of Wisconsin Press", YEAR = 1959, PAGES = "117--190" } @BOOK{ Golomb-1994, AUTHOR = "Solomon W. Golomb", TITLE = "Polyominoes: Puzzles, Patterns, Problems, and Packings", EDITION = Second, PUBLISHER = PUP, ADDRESS = Princeton, YEAR = 1994 } @BOOK{ Golstein-1985, AUTHOR = "Jerome A. Goldstein", TITLE = "Semigroups of Linear Operators and Applications", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1985 } @INCOLLECTION{ Golub-1976, AUTHOR = "G. H. Golub and V. Pereysa", TITLE = "Differentiation of Pseudoinverses, Separable Nonlinear Least Squares Problems and Other Tales", BOOKTITLE = "Generalized Inverses and Applications", EDITOR = "M. Z. Nashed", PUBLISHER = AP, ADDRESS = NY, YEAR = 1976, PAGES = "303--324" } @BOOK{ Golub-1983, AUTHOR = "Gene H. Golub and Charles F. {Van Loan}", TITLE = "Matrix Computations", PUBLISHER = "Johns Hopkins", ADDRESS = "Baltimore", YEAR = 1983 } @INCOLLECTION{ Goncharsky-1987b, AUTHOR = "A. V. Goncharsky", TITLE = "Ill-Posed Problems and their Solution Methods", BOOKTITLE = "Ill-Posed Problems in the Natural Sciences", EDITOR = "A. N. Tikhonov and A. V. Goncharsky", PUBLISHER = Mir, ADDRESS = "Moscow", YEAR = 1987, PAGES = "21--52" } @ARTICLE{ Goodner-1969, AUTHOR = "Dwight B. Goodner", TITLE = "Projections in normed linear spaces", JOURNAL = AMS-Tr, VOLUME = 69, MONTH = Jul, YEAR = 1950, PAGES = "89--108" } @BOOK{ Goulden-1983, AUTHOR = "I. P. Goulden and D. M. Jackson", TITLE = "Combinatorial Enumeration", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1983 } @ARTICLE{ Grad-1949a, AUTHOR = "Harold Grad", TITLE = "Note on {N}-dimensional {Hermite} Polynomials", JOURNAL = CP&AM, VOLUME = 2, YEAR = 1949, PAGES = "325--330" } @BOOK{ Gradshteyn-1994, AUTHOR = "I. S. Gradshteyn and I. M. Ryzhik", TITLE = "Table of Integrals, Series, and Products", EDITION = Fifth, PUBLISHER = AP, ADDRESS = NY, YEAR = 1994 } @ARTICLE{ Graham-1988, AUTHOR = "I. G. Graham and G. A. Chandler", TITLE = "High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations", JOURNAL = SIAM-JNA, VOLUME = 25, NUMBER = 5, YEAR = 1985, PAGES = "1118--1137" } @INCOLLECTION{ Greeno-1983, AUTHOR = "James G. Greeno", TITLE = "Forms of Understanding in Mathematical Problem Solving", BOOKTITLE = "Learning and Motivation in the Classroom", EDITOR = "S. G. Paris and G. M. Olson and H. W. Stevenson", PUBLISHER = LEA, ADDRESS = "Hillsdale, New Jersey", YEAR = 1983, PAGES = "83--111" } @BOOK{ Gregory-1986, EDITOR = "J. A. Gregory", TITLE = "The Mathematics of Surfaces", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1986 } @BOOK{ Grenander-1996, AUTHOR = "Ulf Grenander", TITLE = "Elements of Pattern Theory", PUBLISHER = "Johns Hopkins University Press", ADDRESS = "Baltimore", YEAR = 1996 } @ARTICLE{ Gries-1995, AUTHOR = "David Gries and Fred B. Schneider", TITLE = "Teaching Math More Effectively, Through Calculational Proofs", JOURNAL = AMM, VOLUME = 102, NUMBER = 8, MONTH = Oct, YEAR = 1995, PAGES = "691--697" } @BOOK{ Griffel-1981, AUTHOR = "D. H. Griffel", TITLE = "Applied Functional Analysis", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1981 } @ARTICLE{ Griffiths-1988, AUTHOR = "H. B. Griffiths", TITLE = "Cayley's Version of the Resultant of Two Polynomials", JOURNAL = AMM, VOLUME = 88, NUMBER = 5, MONTH = May, YEAR = 1988, PAGES = "328--338" } @BOOK{ Grobner-1961, AUTHOR = "Wolfgang Gr{\"o}bner and Nikolaus Hofreiter", TITLE = "Integraltafel zweiter teil Bestimmte Integrale", EDITION = Third, PUBLISHER = Springer, ADDRESS = "Wien", YEAR = 1961 } @BOOK{ Groemer-1996, AUTHOR = "H. Groemer", TITLE = "Geometric Applications of Fourier Series and Spherical Harmonics", SERIES = "Encyclopedia of Mathematics and its Applications", VOLUME = 61, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1996 } @ARTICLE{ Grosjean-1984, AUTHOR = "C. C. Grosjean", TITLE = "Formulae concerning the computation of the {Clausen} integral {$Cl_2(\theta)$}", JOURNAL = JC&AM, VOLUME = 11, YEAR = 1984, PAGES = "331--342" } @UNPUBLISHED{ Gross-1993, AUTHOR = "L. Gross", TITLE = "Lecture Notes on Functional Analysis", YEAR = 1993, NOTE = "Unpublished course notes for math 613, Cornell University" } @ARTICLE{ Grossman-1984, AUTHOR = "A. Grossman and J. Morlet", TITLE = "Decomposition of {Hardy} functions into square integrable wavelets of constant shape", JOURNAL = SIAM-JMA, VOLUME = 15, NUMBER = 4, MONTH = Jul, YEAR = 1984, PAGES = "723--736" } @ARTICLE{ Grunbaum-1990, AUTHOR = "Branko Gr{\"u}nbaum and G. C. Shephard", TITLE = "Rotation and Winding Numbers for Planar Polygons and Curves", JOURNAL = AMS-Tr, VOLUME = 322, NUMBER = 1, MONTH = Nov, YEAR = 1990, PAGES = "169--187" } @ARTICLE{ Grunbaum-1993, AUTHOR = "Branko Gr{\"u}nbaum and G. C. Shepard", TITLE = "Pick's Theorem", JOURNAL = AMM, VOLUME = 100, MONTH = Feb, YEAR = 1993, PAGES = "150--161" } @BOOK{ Guenther-1996, AUTHOR = "Ronald B. Guenther and John W. Lee", TITLE = "Partial Differential Equations of Mathematical Physics and Integral Equations", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1996 } @BOOK{ Guillemin-1974, AUTHOR = "Victor Guillemin and Alan Pollack", TITLE = "Differential Topology", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1974 } @BOOK{ Guillimen-1984, AUTHOR = "Victor Guillimen and Shlomo Sternberg", TITLE = "Symplectic techniques in physics", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1984 } @ARTICLE{ Haas-1987, AUTHOR = "Alexander Haas", TITLE = "The Multiple Prime Random Number Generator", JOURNAL = TOMS, VOLUME = 13, NUMBER = 4, MONTH = Dec, PAGES = "368--381", YEAR = 1987 } @BOOK{ Haaser-1971, AUTHOR = "Norman B. Hasser and Joseph A. Sullivan", TITLE = "Real Analysis", PUBLISHER = VNR, ADDRESS = NY, YEAR = 1971 } @BOOK{ Hadamard-1996, AUTHOR = "Jacques Hadamard", TITLE = "The Mathematician's Mind: The Psychology of Invention in the Mathematical Field", PUBLISHER = PUP, ADDRESS = Princeton, YEAR = 1996, NOTE = "Originally published in 1945" } @BOOK{ Halmos-1957, AUTHOR = "Paul R. Halmos", TITLE = "Introduction to Hilbert Space and the Theory of Spectral Multiplicity", PUBLISHER = Chelsea, ADDRESS = NY, YEAR = 1957 } @BOOK{ Halmos-1974, AUTHOR = "Paul R. Halmos", TITLE = "Measure Theory", SERIES = "Graduate Texts in Mathematics", VOLUME = 18, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1974 } @BOOK{ Halmos-1978, AUTHOR = "Paul R. Halmos and V. S. Sunder", TITLE = "Bounded Integral Operators on {$L^2$} Spaces", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1978 } @BOOK{ Halmos-1982, AUTHOR = "Paul R. Halmos", TITLE = "A Hilbert Space Problem Book", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1982 } @BOOK{ Halmos-1985, AUTHOR = "Paul R. Halmos", TITLE = "I want to be a mathematician : an automathography", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1985 } @BOOK{ Halmos-1998, AUTHOR = "Paul Halmos and Steven Givant", TITLE = "Logic as Algebra", SERIES = "Dolciani Mathematical Expositions", NUMBER = 21, PUBLISHER = MAA, YEAR = 1998 } @ARTICLE{ Halton-1965, AUTHOR = "John H. Halton", TITLE = "On the relative merits of correlated and importance sampling for {Monte Carlo} integration", JOURNAL = "Proceedings of the Cambridge Philosophical Society", VOLUME = 61, NUMBER = 497, YEAR = 1965, PAGES = "497--498" } @ARTICLE{ Halton-1970, AUTHOR = "John H. Halton", TITLE = "A retrospective and prospective survey of the {Monte Carlo} method", JOURNAL = SIAM-Rev, VOLUME = 12, NUMBER = 1270, YEAR = 1970, PAGES = "1--63" } @BOOK{ Hamilton-1978, AUTHOR = "A. G. Hamilton", TITLE = "Logic for Mathematicians", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1978 } @INCOLLECTION{ Hammer-1959, AUTHOR = "Preston C. Hammer", TITLE = "Numerical Evaluation of Multiple Integrals", BOOKTITLE = "On Numerical Approximation", EDITOR = "R. E. Langer", PUBLISHER = "University of Wisconsin Press", YEAR = 1959, PAGES = "99--115" } @INCOLLECTION{ Hammer-1993, AUTHOR = "Eric Hammer", TITLE = "Representing Relations Diagrammatically", BOOKTITLE = "Working Papers on Diagrams and Logic", EDITOR = "G. Allwein and J. Barwise", PUBLISHER = "Visual Inference Laboratory", ADDRESS = "Indiana University, Bloomington, Indiana", YEAR = 1993, PAGES = "77--119" } @ARTICLE{ Hammer-1994, AUTHOR = "Eric Hammer", TITLE = "Reasoning with Sentences and Diagrams", JOURNAL = "The Notre Dame Journal of Formal Logic", VOLUME = 35, NUMBER = 1, YEAR = 1994, PAGES = "73--87" } @BOOK{ Hammer-1995, AUTHOR = "Eric M. Hammer", TITLE = "Logic and Visual Information", PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1995 } @INCOLLECTION{ Hammerlin-1992, AUTHOR = "C{\"u}nther H{\"a}mmerlin", TITLE = "Developments in Solving Integral Equations Numerically", BOOKTITLE = "Numerical Integration: Recent Developments, Software and Applications", EDITOR = "Terje O. Espelid and Alan Genz", PUBLISHER = Kluwer, ADDRESS = Boston, YEAR = 1992, PAGES = "187--201" } @BOOK{ Hammersley-1964, AUTHOR = "J. M. Hammersley and D. C. Handscomb", TITLE = "Monte Carlo Methods", PUBLISHER = C&H, ADDRESS = NY, YEAR = 1964 } @BOOK{ Hamming-1973, AUTHOR = "R. W. Hamming", TITLE = "Numerical Methods for Scientists and Engineers", EDITION = Second, PUBLISHER = Dover, ADDRESS = NY, YEAR = 1973 } @ARTICLE{ Hanna-1990, AUTHOR = "Gila Hanna", TITLE = "Some Pedagogical Aspects of Proof", JOURNAL = "Interchange", VOLUME = 21, NUMBER = 1, YEAR = 1990, PAGES = "6--13" } @BOOK{ Harary-1969, AUTHOR = "Frank Harary", TITLE = "Graph Theory", PUBLISHER = AW, ADDRESS = Reading, YEAR = 1969 } @ARTICLE{ Harder-1972, AUTHOR = "R. L. Harder and R. N. Desmarais", TITLE = "Interpolation using surface splines", JOURNAL = "J. Aircraft", VOLUME = 9, YEAR = 1972, PAGES = "189--191" } @ARTICLE{ Hardy-1929, AUTHOR = "Godfrey H. Hardy", TITLE = "Mathematical Proof", JOURNAL = Mind, VOLUME = 38, NUMBER = 149, MONTH = Jan, YEAR = 1929, PAGES = "1--25" } @BOOK{ Hardy-1952, AUTHOR = "Godfrey H. Hardy", TITLE = "A Course of Pure Mathematics", EDITION = Tenth, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1952 } @BOOK{ Hardy-1958, AUTHOR = "Godfrey H. Hardy", TITLE = "The Integration of Functions of a Single Variable", EDITION = Second, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1958 } @BOOK{ Hardy-1959, AUTHOR = "Godfrey H. Hardy and J. E. Littlewood and G. P{\'o}lya", TITLE = "Inequalities", EDITION = Third, PUBLISHER = CUP, ADDRESS = "Cambridge, England", YEAR = 1959 } @BOOK{ Hardy-1978, EDITOR = "Godfrey H. Hardy", TITLE = "Ramanujan: Twelve Lectures on Subjects Suggested by his Life and Work", EDITION = Third, PUBLISHER = Chelsea, ADDRESS = NY, YEAR = 1978, Comments = "Originally published in 1940" } @BOOK{ Harrington-1968, AUTHOR = "Roger F. Harrington", TITLE = "Field Computations by Moment Methods", PUBLISHER = Macmillan, ADDRESS = NY, YEAR = 1968 } @BOOK{ Hart-1995, AUTHOR = "George W. Hart", TITLE = "Multidimensional Analysis", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1995, Comments = "Extends dimensional analysis to vector and matrix quantites." } @BOOK{ Hastings-1993, AUTHOR = "Harold M. Hastings and George Sugihara", TITLE = "Fractals: A User's Guide for the Natural Sciences", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1993 } @ARTICLE{ Havison-1969, AUTHOR = "S. J. Havison", TITLE = "A {Chebyshev} theorem for the approximation of a function of two variables by sum of $\phi(x) + \psi(y)$", JOURNAL = "Math. USSR-Izv", VOLUME = 3, YEAR = 1969, PAGES = "617--632" } @ARTICLE{ Heawood-1890, AUTHOR = "P. J. Heawood", TITLE = "Map-Colour Theorem", JOURNAL = "Quarterly Journal of Pure and Applied Mathematics", VOLUME = 24, YEAR = 1890, PAGES = "332--339", Comments = "Pointed out the error in Kempe's 1879 proof of the 4-color theorem, but showed that the result still held for five colors" } @ARTICLE{ Hebeker-1987, AUTHOR = "F. -K. Hebeker and J. Mika and D. C. Pack", TITLE = "Application of the superconvergence properties of the {Galerkin} approximation to the calculation of upper and lower bounds for linear functionals of solutions of integral equations", JOURNAL = IMA-JAP, VOLUME = 38, YEAR = 1987, PAGES = "61--70" } @ARTICLE{ Heil-1989, AUTHOR = "Christopher E. Heil and David F. Walnut", TITLE = "Continuous and Discrete Wavelet Transforms", JOURNAL = SIAM-Rev, VOLUME = 31, NUMBER = 4, MONTH = Dec, YEAR = 1989, PAGES = "628--666" } @BOOK{ Hein-1996, AUTHOR = "James L. Hein", TITLE = "Discrete Mathematics", PUBLISHER = J&B, ADDRESS = Boston, YEAR = 1996 } @ARTICLE{ Helstrom-1966, AUTHOR = "C. W. Helstrom", TITLE = "An expansion of a signal in {Gaussian} elementary signals", JOURNAL = IEEE-TIT, VOLUME = 12, YEAR = 1966, PAGES = "81--82" } @PHDTHESIS{ Herbrand-1930-Thesis, AUTHOR = "Jacques Herbrand", TITLE = "Recherches sur la Th{\'e}orie de la D{\'e}monstration", SCHOOL = "University of Paris", YEAR = 1930, NOTE = "See \cite{Herbrand-1971}, pages 44--202, for English translation" } @BOOK{ Herbrand-1971, AUTHOR = "Jacques Herbrand", TITLE = "Logical Writings", PUBLISHER = HUP, ADDRESS = CambMass, YEAR = 1971 } @BOOK{ Hersh-1997, AUTHOR = "Reuben Hersh", TITLE = "What is Mathematics, Really?", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1997 } @BOOK{ Herstein-1975, AUTHOR = "I. N. Herstein", TITLE = "Topics in Algebra", EDITION = Second, PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1975 } @BOOK{ Heuser-1982, AUTHOR = "Harro G. Heuser", TITLE = "Functional Analysis", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1982, } @UNPUBLISHED{ Heuvers-1977, AUTHOR = "K. J. Heuvers", TITLE = "Vector Analysis and an Introduction to Tensors", YEAR = 1977, NOTE = "Unpublished course notes for MA425, Michigan Technological University" } @ARTICLE{ Hewitt-1960, AUTHOR = "Edwin Hewitt", TITLE = "The r{\^o}le of compactness in analysis", JOURNAL = AMM, VOLUME = 67, NUMBER = 6, YEAR = 1960, PAGES = "499--516" } @BOOK{ Higham-1993, AUTHOR = "Nicholas J. Higham", TITLE = "Handbook of Writing for the Mathematical Sciences", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1993 } @ARTICLE{ Hilbert-1902, AUTHOR = "David Hilbert", TITLE = "Mathematical problems. Lecture delivered before the Second International Congress of Mathematicians at Paris in 1900", JOURNAL = BAMS, VOLUME = 8, YEAR = 1902, PAGES = "437--445, 478--479" } @BOOK{ Hilbert-1952, AUTHOR = "David Hilbert and S. Cohn-Vossen", TITLE = "Geometry and the Imagination", EDITION = Second, PUBLISHER = Chelsea, ADDRESS = NY, YEAR = 1952 } @BOOK{ Hildebrand-1952, AUTHOR = "Francis B. Hildebrand", TITLE = "Methods of Applied Mathematics", PUBLISHER = PH, ADDRESS = NY, YEAR = 1952 } @BOOK{ Hille-1957, AUTHOR = "E. Hille and R. S. Phillips", TITLE = "Functional Analysis and Semigroups", PUBLISHER = AMS, VOLUME = 31, ADDRESS = Prov, YEAR = 1957 } @BOOK{ Hintikka-1962, AUTHOR = "Jaakko Hintikka", TITLE = "Knowledge and Belief: An Introduction to the Logic of the Two Notions", PUBLISHER = "Conell University Press", ADDRESS = Ithaca, YEAR = 1962 } @BOOK{ Hintikka-1998, AUTHOR = "Jaakko Hintikka", TITLE = "The Principles of Mathematics Revisited", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1998 } @BOOK{ Hirsch-1974, AUTHOR = "Morris W. Hirsch and Stephen Smale", TITLE = "Differential Equations, Dynamical Systems, and Linear Algebra", PUBLISHER = AP, ADDRESS = NY, YEAR = 1974 } @BOOK{ Hirsch-1976, AUTHOR = "Morris W. Hirsch", TITLE = "Differential Topology", SERIES = "Graduate Texts in Mathematics", VOLUME = 33, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1976 } @BOOK{ Hobson-1955, AUTHOR = "E. W. Hobson", TITLE = "The Theory of Spherical and Ellipsoidal Harmonics", PUBLISHER = Chelsea, ADDRESS = NY, YEAR = 1955 } @BOOK{ Hochstadt-1973, AUTHOR = "Harry Hochstadt", TITLE = "Integral Equations", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1973 } @BOOK{ Hochstadt-1986, AUTHOR = "Harry Hochstadt", TITLE = "The Functions of Mathematical Physics", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1986 } @BOOK{ Holland-1990, AUTHOR = "Samuel S. {Holland, Jr.}", TITLE = "Applied Analysis by the Hilbert Space Method", PUBLISHER = "Marcel Dekker", ADDRESS = NY, YEAR = 1990 } @BOOK{ Horn-1985, AUTHOR = "Roger A. Horn and Charles R. Johnson", TITLE = "Matrix Analysis", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1985 } @BOOK{ Householder-1975, AUTHOR = "Alston S. Householder", TITLE = "The Theory of Matrices in Numerical Analysis", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1975 } @ARTICLE{ Hrbacek-1979, AUTHOR = "Karel Hrbacek", TITLE = "Nonstandard Set Theory", JOURNAL = AMM, VOLUME = 86, NUMBER = 8, YEAR = 1979, PAGES = "659--677" } @BOOK{ Hsu-1969, AUTHOR = "Hwei P. Hsu", TITLE = "Vector Analysis", PUBLISHER = S&S, ADDRESS = NY, YEAR = 1969 } @BOOK{ Hughes-1968, AUTHOR = "G. E. Hughes and M. J. Cresswell", TITLE = "An Introduction to Modal Logic", PUBLISHER = "Methuen", ADDRESS = "London", YEAR = 1968 } @BOOK{ Hughes-1996, AUTHOR = "G. E. Hughes and M. J. Cresswell", TITLE = "A New Introduction to Modal Logic", PUBLISHER = "Routledge", ADDRESS = NY, YEAR = 1996 } @BOOK{ Hunter-1971, AUTHOR = "Geoffrey Hunter", TITLE = "Metalogic: An Introduction to the Metatheory of Standard First Order Logic", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1971 } @ARTICLE{ Ikebe-1972, AUTHOR = "Yasuhiko Ikebe", TITLE = "The {Galerkin} Method for the Numerical Solution of {Fredholm} Integral Equations of the Second Kind", JOURNAL = SIAM-Rev, VOLUME = 14, NUMBER = 3, MONTH = Jul, YEAR = 1972, PAGES = "465--491" } @BOOK{ Isaacson-1966, AUTHOR = "Eugene Isaacson and Herbert Bishop Keller", TITLE = "Analysis of Numerical Methods", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1966 } @BOOK{ Ito-1987, EDITOR = "Kiyosi It{\^o}", TITLE = "Encyclopedic Dictionary of Mathematics", EDITION = Second, PUBLISHER = MIT, ADDRESS = CambMass, YEAR = 1987 } @BOOK{ Iversen-1986, AUTHOR = "Birger Iversen", TITLE = "Differential Forms: a third course in mathematics", PUBLISHER = "Arhaus Universitet", ADDRESS = "Danmark", YEAR = 1986 } @BOOK{ Jacobson-1974, AUTHOR = "Nathan Jacobson", TITLE = "Basic Algebra I", PUBLISHER = "W. H. Freeman and Company", ADDRESS = SanFran, YEAR = 1974 } @ARTICLE{ Joe-1985, AUTHOR = "S. Joe", TITLE = "Discrete collocation methods for second kind {Fredholm} integral equations", JOURNAL = SIAM-JNA, VOLUME = 22, YEAR = 1985, PAGES = "1167--1177" } @BOOK{ Johnson-1977, AUTHOR = "Lee W. Johnson and R. Dean Riess", TITLE = "Numerical Analysis", PUBLISHER = AW, ADDRESS = Reading, YEAR = 1977 } @BOOK{ Jones-1985, AUTHOR = "M. N. Jones", TITLE = "Spherical Harmonics and Tensors for Classical Field Theory", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1985 } @ARTICLE{ Jones-1995, AUTHOR = "Alan Jones", TITLE = "Serendipity", JOURNAL = "Australian Mathematical Society Gazette", VOLUME = 22, NUMBER = 3, MONTH = Aug, YEAR = 1995 } @BOOK{ Jorgens-1982, AUTHOR = "K. J{\"o}rgens", TITLE = "Linear Integral Operators", PUBLISHER = Pitman, ADDRESS = Boston, NOTE = "Translated by G. F. Roach", YEAR = 1982 } @ARTICLE{ Jurkat-1961, AUTHOR = "W. B. Jurkat and G. G. Lorentz", TITLE = "Uniform approximation by polynomials with positive coefficients", JOURNAL = DMJ, VOLUME = 28, YEAR = 1961, PAGES = "463--473" } @BOOK{ Kac-1992, AUTHOR = "Mark Kac and Stanislaw M. Ulam", TITLE = "Mathematics and Logic", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1992 } @ARTICLE{ Kagiwada-1967b, AUTHOR = "Harriet H. Kagiwada and Robert E. Kalaba and A. Schumitzky", TITLE = "An initial value method for {Fredholm} integral equations", JOURNAL = JMA&A, VOLUME = 19, NUMBER = 1, MONTH = Jul, YEAR = 1967, PAGES = "197--203" } @ARTICLE{ Kagiwada-1967c, AUTHOR = "Harriet H. Kagiwada and Robert E. Kalaba", TITLE = "An initial value method suitable for the computation of certain {Fredholm} resolvents", JOURNAL = JM&PS, VOLUME = 1, YEAR = 1967, PAGES = "109--122" } @ARTICLE{ Kagiwada-1968, AUTHOR = "Harriet H. Kagiwada and Robert E. Kalaba and B. J. Vereeke", TITLE = "The invariant imbedding numerical method for {Fredholm} integral equations with degenerate kernels", JOURNAL = JAT, VOLUME = 1, NUMBER = 3, MONTH = Nov, YEAR = 1968, PAGES = "355--364" } @INCOLLECTION{ Kalman-1976, AUTHOR = "R. E. Kalman", TITLE = "Algebraic Aspects of the Generalized Inverse of a Rectangular Matrix", BOOKTITLE = "Generalized Inverses and Applications", EDITOR = "M. Z. Nashed", PUBLISHER = AP, ADDRESS = NY, YEAR = 1976, PAGES = "111--124" } @BOOK{ Kalos-1986, AUTHOR = "M. H. Kalos and Paula A. Whitlock", TITLE = "Monte Carlo Methods", VOLUME = "I, {\it Basics}", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1986 } @BOOK{ Kamke-1950, AUTHOR = "E. Kamke", TITLE = "Theory of Sets", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1950 } @BOOK{ Kantorovich-1958, AUTHOR = "L. V. Kantorovich and V. I. Krylov", TITLE = "Approximate Methods of Higher Analysis", PUBLISHER = "Interscience Publishers", ADDRESS = NY, YEAR = 1958, NOTE = "Translated by C. D. Benster" } @BOOK{ Kantorovich-1964, AUTHOR = "L. Kantorovich and G. P. Akilov", TITLE = "Functional Analysis in Normed Spaces", PUBLISHER = Pergamon, ADDRESS = NY, YEAR = 1964, Trans = "Translated from the Russian by D. E. Brown" } @BOOK{ Kanwal-1983, AUTHOR = "Ram P. Kanwal", TITLE = "Generalized Functions, Theory and Techniques", PUBLISHER = AP, ADDRESS = NY, YEAR = 1983 } @BOOK{ Kaplan-1953, AUTHOR = "Wilfred Kaplan", TITLE = "A first course in Functions of a Complex Variable", PUBLISHER = AW, ADDRESS = CambMass, YEAR = 1953 } @BOOK{ Kaplan-1991, AUTHOR = "Wilfred Kaplan", TITLE = "Advanced Calculus", EDITION = Fourth, PUBLISHER = AW, ADDRESS = "Redwood City, California", YEAR = 1991 } @ARTICLE{ Karlin-1959, AUTHOR = "Samuel Karlin", TITLE = "Positive Operators", JOURNAL = JM&M, VOLUME = 8, NUMBER = 6, YEAR = 1959, PAGES = "907--937" } @ARTICLE{ Karlin-1964a, AUTHOR = "Samuel Karlin", TITLE = "The Existence of Eigenvalues for Integral Operators", JOURNAL = AMS-Tr, VOLUME = 113, YEAR = 1964, PAGES = "1--17" } @BOOK{ Karlin-1968, AUTHOR = "Samuel Karlin", TITLE = "Total Positivity", PUBLISHER = "Stanford University Press", ADDRESS = "Stanford, California", YEAR = 1968 } @BOOK{ Kato-1980, AUTHOR = "Tosio Kato", TITLE = "Perturbation Theory for Linear Operators", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1966 } @BOOK{ Katznelson-1976, AUTHOR = "Yitzhak Katznelson", TITLE = "An Introduction to Harmonic Analysis", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1976 } @BOOK{ Keimel-1992, EDITOR = "Klaus Keimel and Walter Roth", TITLE = "Ordered Cones and Approximation", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1992 } @BOOK{ Kelly-1955, AUTHOR = "John Kelly", TITLE = "General Topology", SERIES = "Graduate Texts in Mathematics", NUMBER = 27, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1955 } @ARTICLE{ Kempe-1879, AUTHOR = "A. B. Kempe", TITLE = "On the Geographical Problem of the Four Colours", JOURNAL = "American Journal of Mathematics", VOLUME = 2, YEAR = 1879, PAGES = "193--200", Comments = "The original (incorrect) proof of the 4-color theorem" } @ARTICLE{ Kimia-1992, AUTHOR = "Benjamin B. Kimia and Allen Tannenbaum and Steven W. Zucker", TITLE = "On the Evolution of Curves via a Function of Curvature. {I}. {The Calssical Case}", JOURNAL = JMA&A, VOLUME = 163, YEAR = 1992, PAGES = "438--458" } @BOOK{ Kitahara-1994, AUTHOR = "{Kazuaki Kitahara}", TITLE = "Spaces of Approximating Functions with Harr-like Conditions", SERIES = "Lecture Notes in Mathematics", VOLUME = 1576, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1994 } @ARTICLE{ Klee-1969, AUTHOR = "Victor Klee", TITLE = "Is every polygonal region illuminable from some point?", JOURNAL = AMM, VOLUME = 76, NUMBER = 2, MONTH = Feb, YEAR = 1969, PAGES = 180 } @ARTICLE{ Klee-1998, AUTHOR = "Victor Klee and John R. Reay", TITLE = "A Surprising but Easily Proved Geometric Decomposition Theorem", JOURNAL = MathMag, VOLUME = 71, NUMBER = 1, MONTH = Feb, YEAR = 1998, PAGES = "3--11" } @ARTICLE{ Kline-1970, AUTHOR = "Morris Kline", TITLE = "Logic Versus Pedagogy", JOURNAL = AMM, VOLUME = 77, MONTH = Mar, YEAR = 1970, PAGES = "264--282" } @BOOK{ Kneebone-1963, AUTHOR = "G. T. Kneebone", TITLE = "Mathematical Logic and the Foundations of Mathematics", PUBLISHER = VN, ADDRESS = NY, YEAR = 1963 } @BOOK{ Knuth-1989, AUTHOR = "Donald E. Knuth and Tracy Larrabee and Paul M. Roberts", TITLE = "Mathematical Writing", PUBLISHER = MAA, ADDRESS = Prov, YEAR = 1989 } @ARTICLE{ Kolata-1976, AUTHOR = "Gina B. Kolata", TITLE = "Mathematical Proofs: The Genesis of Reasonable Doubt", JOURNAL = "Science", VOLUME = 192, MONTH = Jun, YEAR = 1976, PAGES = "989--990" } @ARTICLE{ Kolmogorov-1956, AUTHOR = "A. N. Kolmogorov", TITLE = "Asymptotic Characteristics of some completely bounded metric spaces", JOURNAL = SovMath, VOLUME = 108, YEAR = 1956, PAGES = "585--589" } @BOOK{ Kolmogorov-1957, AUTHOR = "A. N. Kolmogorov and S. V. Fomin", TITLE = "Elements of the Theory of Functions and Functional Analysis", NOTE = "Translated from the Russian by Leo F. Boron", PUBLISHER = "Graylock Press", ADDRESS = "Rochester, New York", YEAR = 1957 } @BOOK{ Kondo-1991, AUTHOR = "J. Kondo", TITLE = "Integral Equations", PUBLISHER = "Clarendon Press", ADDRESS = "Oxford", YEAR = 1991 } @BOOK{ Konyndyk-1986, AUTHOR = "Kenneth Konyndyk", TITLE = "Introductory Modal Logic", PUBLISHER = "University of Notre Dame Press", ADDRESS = "Indiana", YEAR = 1986 } @ARTICLE{ Koornwinder-1972, AUTHOR = "Tom H. Koornwinder", TITLE = "The addition formula for {Jacobi} polynomials. {I}, Summary of Results", JOURNAL = "Indagationes Mathematicae", VOLUME = 34, YEAR = 1972, PAGES = "188--191" } @ARTICLE{ Koornwinder-1973, AUTHOR = "Tom H. Koornwinder", TITLE = "The addition formula for {Jacobi} Polynomials and spherical Harmonics", JOURNAL = SIAM-JAM, VOLUME = 25, YEAR = 1973, PAGES = "236--246" } @BOOK{ Koosis-1988, AUTHOR = "Paul Koosis", TITLE = "The Logarithmic Integral, I", SERIES = "Cambridge Studies in Advanced Mathematics", VOLUME = 12, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1988 } @BOOK{ Kracht-1998, EDITOR = "Marcus Kracht and Maarten {de Rijke} and Heinrich Wansing and Michael Zakharyaschev", TITLE = "Advances in Modal Logic: Volume I", SERIES = "CSLI Lecture Notes", VOLUME = 87, PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1998 } @BOOK{ Krasnoselskii-1961, AUTHOR = "M. A. Krasnosel'ski{\u i} and Ya. B. Ruticki{\u i}", TITLE = "Convex Functions and Orlicz Spaces", NOTE = "Translated by L. F. Boron", PUBLISHER = Noordhoff, ADDRESS = "Groningen, the Netherlands", YEAR = 1961 } @BOOK{ Krasnoselskii-1964, AUTHOR = "M. A. Krasnosel'ski{\u i}", TITLE = "Positive Solutions of Operator Equations", NOTE = "Translated by Richard E. Flaherty", PUBLISHER = Noordhoff, ADDRESS = "Groningen, the Netherlands", YEAR = 1964 } @BOOK{ Krasnoselskii-1972, AUTHOR = "M. A. Krasnosel'ski{\u i} and G. M. Vainikko and P. P. Zabreiko and Ya. B. Rutitskii and V. Ya. Stetsenko", TITLE = "Approximate Solution of Operator Equations", TransBy = "Translated by D. Louvish", PUBLISHER = "Wolters-Noordhoff", ADDRESS = "Groningen, the Netherlands", YEAR = 1972 } @ARTICLE{ Krein-1948, AUTHOR = "M. G. Kre{\v{i}}n and M. A. Rutman", TITLE = "Linear operators leaving invariant a cone in a {Banach} space", JOURNAL = "Uspehi Matemati{\v{c}}eskih Nauk (N.S.) 3", VOLUME = 1, NUMBER = 23, YEAR = 1948, PAGES = "3--95", NOTE = "(See \cite{AMS-Trans-10} for English Translation)" } @BOOK{ Kress-1989, AUTHOR = "Rainer Kress", TITLE = "Linear Integral Equations", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1989 } @BOOK{ Kreyszig-1978, AUTHOR = "Erwin Kreyszig", TITLE = "Introductory Functional Analysis with Applications", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1978 } @BOOK{ Kreyszig-1991, AUTHOR = "Erwin Kreyszig", TITLE = "Differential Geometry", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1991 } @ARTICLE{ Kuhn-1956, AUTHOR = "H. W. Kuhn", TITLE = "Solvability and Consistency for Linear Equations and Inequalities", JOURNAL = AMM, VOLUME = 63, YEAR = 1956, PAGES = "217--232" } @BOOK{ Kushner-1978, AUTHOR = "Harold J. Kushner and Dean S. Clark", TITLE = "Stochastic Approximation Methods for Constrained and Unconstrained Systems", SERIES = "Applied Mathematical Sciences", VOLUME = 26, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1978 } @INPROCEEDINGS{ Laczkovich-1992, AUTHOR = "Mikl{\'o}s Laczkovich", TITLE = "Paradoxical Decompositions: A Survey of Recent Results", BOOKTITLE = "First European Congress of Mathematics", ADDRESS = "Paris", VOLUME = 2, YEAR = 1992, PAGES = "159--184" } @BOOK{ Lambert-1973, AUTHOR = "J. D. Lambert", TITLE = "Computational Methods in Ordinary Differential Equations", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1973 } @ARTICLE{ Lamport-1995, AUTHOR = "Leslie Lamport", TITLE = "How to Write a Proof", JOURNAL = AMM, VOLUME = 102, NUMBER = 7, MONTH = Sep, YEAR = 1995, PAGES = "600--608" } @BOOK{ Lancaster-1986, AUTHOR = "Peter Lancaster and K\c{e}stutis \v{S}alkauskas", TITLE = "Curve and Surface Fitting: An Introduction", PUBLISHER = AP, ADDRESS = NY, YEAR = 1986, Keywords = "interpolation, cubic splines, B-splines, projectors, finite elements" } @BOOK{ Lanczos-1988, AUTHOR = "Cornelius Lanczos", TITLE = "Applied Analysis", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1988 } @BOOK{ Lang-1985, AUTHOR = "Serge Lang", TITLE = "Differential Manifolds", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1985 } @BOOK{ Langer-1959, EDITOR = "R. E. Langer", TITLE = "On Numerical Approximation", PUBLISHER = "University of Wisconsin Press", ADDRESS = "Madison, Wisconsin", YEAR = 1959 } @BOOK{ Lawvere-1997, AUTHOR = "F. William Lawvere and Stephen H. Schanuel", TITLE = "Conceptual Mathematics: A First Introduction to Categories", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1997 } @BOOK{ Ledermann-1987, AUTHOR = "Walter Ledermann", TITLE = "Introduction to Group Characters", EDITION = Second, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1987 } @BOOK{ Ledoux-2001, AUTHOR = "Michael Ledoux", TITLE = "The Concentration of Measure Phenomenon", SERIES = "Mathematical Surveys and Monographs", VOLUME = 89, PUBLISHER = AMS, ADDRESS = Prov, YEAR = 2001 } @ARTICLE{ Leron-1983, AUTHOR = "Uri Leron", TITLE = "Structuring Mathematical Proofs", JOURNAL = AMM, VOLUME = 90, MONTH = Mar, YEAR = 1983, PAGES = "174--185" } @BOOK{ LeVeque-1996, AUTHOR = "William J. LeVeque", TITLE = "Fundamentals of Number Theory", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1996 } @BOOK{ Levy-1997, EDITOR = "Silvio Levy", TITLE = "Flavors of Geometry", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1997 } @BOOK{ Lewin-1958, AUTHOR = "Leonard Lewin", TITLE = "Dilogarithms and associated functions", PUBLISHER = "Macdonald", ADDRESS = "London", YEAR = 1958 } @BOOK{ Lewin-1981, AUTHOR = "Leonard Lewin", TITLE = "Polylogarithms and associated functions", PUBLISHER = "North Holland", ADDRESS = NY, YEAR = 1981 } @BOOK{ Lewin-1991, EDITOR = "Leonard Lewin", TITLE = "Structural Properties of Polylogarithms", SERIES = "Mathematical Surveys and Monographs", VOLUME = 37, PUBLISHER = AMS, ADDRESS = Prov, YEAR = 1991 } @BOOK{ Lewis-1959, AUTHOR = "Clarence Irving Lewis and Cooper Harold Langford", TITLE = "Symbolic Logic", EDITION = Second, PUBLISHER = Dover, ADDRESS = NY, YEAR = 1959 } @BOOK{ Lietzmann-1965, AUTHOR = "Walther Lietzmann", TITLE = "Visual Topology", PUBLISHER = "American Elsevier", ADDRESS = NY, YEAR = 1965, NOTE = "Translated from the German by M. Bruckheimer" } @BOOK{ Lin-1988, AUTHOR = "C. C. Lin and L. A. Segel", TITLE = "Mathematics Applied to Deterministic Problems in the Natural Sciences", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1988 } @BOOK{ Lindgren-1968, AUTHOR = "C. Ernesto S. Lindgren and Steve M. Slaby", TITLE = "Four-Dimensional Descriptive Geometry", PUBLISHER = MH, ADDRESS = NY, YEAR = 1968 } @BOOK{ Lindley-1972, AUTHOR = "D. V. Lindley", TITLE = "Bayesian Statistics, A Review", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1972 } @ARTICLE{ Linz-1974, AUTHOR = "Peter Linz", TITLE = "A method for the approximate solution of linear integro-differential equations", JOURNAL = SIAM-JNA, VOLUME = 11, YEAR = 1974, PAGES = "137--144" } @ARTICLE{ Linz-1977, AUTHOR = "Peter Linz", TITLE = "A General Theory for the Approximate Solution of Operator Equations of the Second Kind", JOURNAL = SIAM-JNA, VOLUME = 14, NUMBER = 3, MONTH = Jun, YEAR = 1977, PAGES = "543--554" } @BOOK{ Linz-1979, AUTHOR = "Peter Linz", TITLE = "Theoretical Numerical Analysis, an Introduction to Advanced Techniques", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1979 } @INCOLLECTION{ Linz-1984, AUTHOR = "Peter Linz", TITLE = "Stability Analysis for the Numerical Solution of Singular Integral Equations", BOOKTITLE = "Numerical Solution of Singular Integral Equations", EDITOR = "A Gerasoulis and R. Vichnevetsky", PUBLISHER = "IMACS", ADDRESS = "New Brunswick, New Jersey", YEAR = 1984, PAGES = "58--61" } @BOOK{ Lloyd-1978, AUTHOR = "N. G. Lloyd", TITLE = "Degree Theory", SERIES = CTM, VOLUME = 73, PUBLISHER = CUP, ADDRESS = NY, YEAR = 1978 } @ARTICLE{ Lonseth-1977, AUTHOR = "Arvid T. Lonseth", TITLE = "Sources and Applications of Integral Equations", JOURNAL = SIAM-Rev, VOLUME = 19, NUMBER = 2, MONTH = Apr, YEAR = 1977, PAGES = "241--278" } @BOOK{ Loomis-1953, AUTHOR = "Lynn Loomis", TITLE = "Introduction to Abstract Harmonic Analysis", PUBLISHER = VN, ADDRESS = NY, YEAR = 1953 } @BOOK{ Loomis-1965, AUTHOR = "Lynn Loomis", TITLE = "Harmonic Analysis", PUBLISHER = MAA, ADDRESS = Prov, YEAR = 1965 } @BOOK{ Loomis-1968, AUTHOR = "Lynn H. Loomis and Shlomo Sternberg", TITLE = "Advanced Calculus", PUBLISHER = AW, ADDRESS = Reading, YEAR = 1968 } @BOOK{ Lord-1986, AUTHOR = "E. A. Lord and C. B. Wilson", TITLE = "The Mathematical Description of Shape and Form", PUBLISHER = EHL, ADDRESS = "Chichester", YEAR = 1986 } @ARTICLE{ Lorentz-1962, AUTHOR = "G. G. Lorentz", TITLE = "Metric entropy, widths, and superpositions of functions", JOURNAL = AMM, VOLUME = 69, YEAR = 1962, PAGES = "469--485" } @ARTICLE{ Lorentz-1963, AUTHOR = "G. G. Lorentz", TITLE = "The degree of approximation by polynomials with positive coefficients", JOURNAL = MathAnn, VOLUME = 151, YEAR = 1963, PAGES = "239--251" } @BOOK{ Lorentz-1986, AUTHOR = "George G. Lorentz", TITLE = "Approximation of Functions", PUBLISHER = Chelsea, ADDRESS = NY, YEAR = 1986 } @BOOK{ Lothaire-1997, AUTHOR = "M. Lothaire", TITLE = "Combinatorics on Words", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1997 } @BOOK{ Lovelock-1989, AUTHOR = "David Lovelock and Hanno Rund", TITLE = "Tensors, Differential Forms, and Variational Principles", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1989 } @BOOK{ Lovitt-1924, AUTHOR = "William V. Lovitt", TITLE = "Linear Integral Equations", PUBLISHER = MH, ADDRESS = NY, YEAR = 1924 } @BOOK{ Luenberger-1969, AUTHOR = "David G. Luenberger", TITLE = "Optimization by Vector Space Methods", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1969 } @INCOLLECTION{ Luengo-1993, AUTHOR = "Isabel Luengo", TITLE = "A Diagrammatic Inference System for Geometry", BOOKTITLE = "Working Papers on Diagrams and Logic", EDITOR = "G. Allwein and J. Barwise", PUBLISHER = "Visual Inference Laboratory", ADDRESS = "Indiana University, Bloomington, Indiana", YEAR = 1993, PAGES = "213--242" } @ARTICLE{ Lyndon-1959, AUTHOR = "Roger C. Lyndon", TITLE = "Properties Preserved in Subdirect Products", JOURNAL = PJM, VOLUME = 9, YEAR = 1959, PAGES = "155--164", Keywords = "Horn formulas" } @BOOK{ Lyubich-1988, AUTHOR = "Yurii I. Lyubich", TITLE = "Introduction to the Theory of Banach Representations of Groups", PUBLISHER = BV, ADDRESS = Boston, YEAR = 1988, Keywords = "topological groups, semigroups, Banach algebras", NOTE = "Translated from Russian by A. Jacob" } @ARTICLE{ Macdonald-1963, AUTHOR = "I. G. Macdonald", TITLE = "The Volume of a Lattice Polyhedron", JOURNAL = "Proceedings of the Cambridge Philosophical Society", VOLUME = 59, YEAR = 1963, PAGES = "719--726", Comments = "Generalization of Pick's theorem to spaces of arbitrary dimension." } @BOOK{ Machover-1996, AUTHOR = "Mosh{\'e} Machover", TITLE = "Set Theory, Logic, and their Limitations", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1996 } @BOOK{ Mackerle-1988, EDITOR = "J. Mackerle and C. A. Brebbia", TITLE = "The Boundary Element Reference Book", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1988 } @BOOK{ MacLane-1986, AUTHOR = "Saunders MacLane", TITLE = "Mathematics, Form and Function", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1986 } @ARTICLE{ MacLeod-1996, AUTHOR = "Allan J. MacLeod", TITLE = "Algorithm 757: {MISCFUN}, A Software Package to Compute Uncommon Special Functions", JOURNAL = TOMS, VOLUME = 22, NUMBER = 3, MONTH = Sep, PAGES = "288--301", YEAR = 1996 } @BOOK{ Macrobert-1967, AUTHOR = "T. M. {MacRobert}", TITLE = "Spherical Harmonics: An Elementary Treatise on Harmonic Functions with Applications", PUBLISHER = Pergamon, ADDRESS = NY, YEAR = 1967 } @ARTICLE{ Mallat-1989, AUTHOR = "Stephane G. Mallat", TITLE = "Multiresolution approximations and wavelet orthonormal bases of {$L^2(R)$}", JOURNAL = AMS-Tr, VOLUME = 315, NUMBER = 1, MONTH = Sep, YEAR = 1989, PAGES = "69--88" } @BOOK{ Manaster-1975, AUTHOR = "Alfred B. Manaster", TITLE = "Completeness, Compactness, and Undecidability: An Introduction to Mathematical Logic", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1975 } @BOOK{ Mandelbrot-1977, AUTHOR = "Benoit B. Mandelbrot", TITLE = "Fractals: Form, Chance, and Dimension", PUBLISHER = "W. H. Freeman and Company", ADDRESS = SanFran, YEAR = 1977 } @BOOK{ Mandelbrot-1983, AUTHOR = "Benoit B. Mandelbrot", TITLE = "The Fractal Geometry of Nature", PUBLISHER = "W. H. Freeman and Company", ADDRESS = NY, YEAR = 1983 } @BOOK{ Margaris-1990, AUTHOR = "Angelo Margaris", TITLE = "First Order Mathematical Logic", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1990 } @BOOK{ Marsden-1993, AUTHOR = "Jerrold E. Marsden and Michael J. Hoffman", TITLE = "Elementary Classical Analysis", PUBLISHER = "W. H. Freeman", ADDRESS = NY, YEAR = 1993 } @BOOK{ Marx-1996, EDITOR = "Maarten Marx and L{\'a}szl{\'o} P{\'o}los and Michael Masuch", TITLE = "Arrow Logic and Multi-Modal Logic", PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1996 } @BOOK{ Mate-1989, AUTHOR = "L{\'a}szl{\'o} M{\'a}t{\'e}", TITLE = "Hilbert Space Methods in Science and Engineering", PUBLISHER = "Adam Hilger", ADDRESS = NY, YEAR = 1989 } @ARTICLE{ Matijaszevics-1970, AUTHOR = "Ju. V. Matijaszevics", TITLE = "The Solution of {Hilbert's} Tenth Problem", JOURNAL = "Matematikai Lapok", VOLUME = 21, YEAR = 1970, PAGES = "83--87" } @BOOK{ Maxfield-1992, AUTHOR = "John E. Maxfield and Margaret W. Maxfield", TITLE = "Abstract Algebra and Solution by Radicals", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1992 } @BOOK{ McBride-1971, AUTHOR = "Elna B. {McBride}", TITLE = "Obtaining Generating Functions", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1971 } @BOOK{ McConnell-1957, AUTHOR = "A. J. {McConnell}", TITLE = "Applications of Tensor Analysis", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1957 } @BOOK{ McCoy-1988, AUTHOR = "Robert A. {McCoy} and Ibula Ntantu", TITLE = "Topological Properties of Spaces of Continuous Functions", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1988 } @BOOK{ Melrose-1995, AUTHOR = "Richard B. Melrose", TITLE = "Geometric Scattering Theory", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1995 } @BOOK{ Melzak-1976, AUTHOR = "Z. A. Melzak", TITLE = "Mathematical Ideas, Modeling and Applications", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1976 } @BOOK{ Melzak-1983, AUTHOR = "Z. A. Melzak", TITLE = "Invitation to Geometry", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1983 } @BOOK{ Mendelson-1964, AUTHOR = "Elliott Mendelson", TITLE = "Introduction to Mathematical Logic", EDITION = Second, PUBLISHER = "D. Van Nostrand", ADDRESS = NY, YEAR = 1964 } @BOOK{ Mendelson-1990, AUTHOR = "Bert Mendelson", TITLE = "Introduction to Topology", EDITION = Third, PUBLISHER = Dover, ADDRESS = NY, YEAR = 1990 } @ARTICLE{ Mercer-1909, AUTHOR = "J. Mercer", TITLE = "Functions of positive and negative type, and their connection with the theory of integral equations", JOURNAL = PTRSL-A, VOLUME = 209, YEAR = 1909, PAGES = "415--446" } @BOOK{ Meserve-1983, AUTHOR = "Bruce E. Meserve", TITLE = "Fundamental Concepts of Geometry", PUBLISHER = Dover, ADDRESS = NY, YEAR = 1983 } @BOOK{ Meyer-1975, AUTHOR = "Stuart L. Meyer", TITLE = "Data Analysis for Scientists and Engineers", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1975 } @BOOK{ Meyer-1991, EDITOR = "Kenneth R. Meyer and Dieter S. Schmidt", TITLE = "Computer Aided Proofs in Analysis", SERIES = "The IMA Volumes in Mathematics and its Applications", NUMBER = 28, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1991 } @BOOK{ Meyer-1992, AUTHOR = "Yves Meyer", TITLE = "Wavelets and Operators", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1992, NOTE = "Translated by D. H. Salinger" } @BOOK{ Meyer-1993, AUTHOR = "Yves Meyer", TITLE = "Wavelets: Algorithms and Applications", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1993, NOTE = "Translated by R. D. Ryan" } @ARTICLE{ Micchelli-1978, AUTHOR = "Charles A. Micchelli and Allan Pinkus", TITLE = "Some problems in the approximation of functions of two variables and $n$-widths of integral operators", JOURNAL = JAT, VOLUME = 24, YEAR = 1978, PAGES = "51--77" } @ARTICLE{ Micke-1989, AUTHOR = "A. Micke", TITLE = "The Treatment of Integral Equations with Discontinuous Kernels Using Product Type Quadrature Formulas", JOURNAL = "Computing", VOLUME = 42, NUMBER = "2--3", PAGES = "207--223", YEAR = 1989 } @ARTICLE{ Miel-1986, AUTHOR = "G. J. Meil", TITLE = "The {Kantorovich} Theorem with Optimal Error Bounds", JOURNAL = AMM, VOLUME = 86, NUMBER = 3, MONTH = Mar, YEAR = 1986, PAGES = "212--215" } @BOOK{ Mikhailov-1992, EDITOR = "Gennadii A. Mikhailov", TITLE = "Optimization of Weighted Monte Carlo Methods", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1992, NOTE = "Translated by Karl K. Sabelfeld" } @BOOK{ Mikhlin-1967, AUTHOR = "Solomon G. Mikhlin and K. L. Smolitskiy", TITLE = "Approximate Methods for Solution of Differential and Integral Equations", PUBLISHER = Elsevier, ADDRESS = NY, YEAR = 1967 } @BOOK{ Milnor-1978, AUTHOR = "John W. Milnor", TITLE = "Topology from the Differentiable Viewpoint", PUBLISHER = "The University Press of Virginia", ADDRESS = "Charlottesville", YEAR = 1978 } @BOOK{ Mints-1992, AUTHOR = "Grigori Mints", TITLE = "A Short Introduction to Modal Logic", SERIES = "CSLI Lecture Notes", NUMBER = 30, PUBLISHER = CSLI, ADDRESS = Stanford, YEAR = 1992 } @BOOK{ Monna-1973, AUTHOR = "A. F. Monna", TITLE = "Functional Analysis in Historical Perspective", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1973 } @BOOK{ Moon-1970, AUTHOR = "J. W. Moon", TITLE = "Counting Labelled Trees", SERIES = "Canadian Mathematical Monographs", VOLUME = 1, PUBLISHER = "William Clowes and Sons", ADDRESS = London, YEAR = 1970, Copyright = "Canadian Mathematical Congress" } @BOOK{ Moon-1986, AUTHOR = "Parry Moon and Domina E. Spencer", TITLE = "Theory of Holors: A Generalization of Tensors", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1986 } @BOOK{ Moore-1935, AUTHOR = "Eliakim H. Moore", TITLE = "General analysis", SERIES = "Memoirs of the American Philosophical Society", NUMBER = 1, PUBLISHER = "The American Philosophical Society", ADDRESS = "Philadelphia", YEAR = 1935 } @BOOK{ Moore-1966, AUTHOR = "Ramon E. Moore", TITLE = "Interval Analysis", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1966 } @BOOK{ Moore-1979, AUTHOR = "Ramon E. Moore", TITLE = "Methods and Applications of Interval Analysis", PUBLISHER = SIAM, ADDRESS = Phil, YEAR = 1979 } @BOOK{ Moore-1985, AUTHOR = "Ramon E. Moore", TITLE = "Computational Functional Analysis", PUBLISHER = AP, ADDRESS = NY, YEAR = 1985 } @BOOK{ Moran-1968, AUTHOR = "P. A. P. Moran", TITLE = "An Introduction to Probability Theory", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1968 } @BOOK{ Morgan-1988, AUTHOR = "Frank Morgan", TITLE = "Geometric Measure Theory, A Beginner's Guide", PUBLISHER = AP, ADDRESS = NY, YEAR = 1988 } @BOOK{ Morgan-1993, AUTHOR = "Frank Morgan", TITLE = "Riemannian Geometry, A Beginner's Guide", PUBLISHER = "Jones and Bartlett Publishers", ADDRESS = Boston, YEAR = 1993 } @ARTICLE{ Moses-1972, AUTHOR = "J. Moses", TITLE = "Towards a general theory of special functions", JOURNAL = CACM, VOLUME = 15, YEAR = 1972, PAGES = "550--554" } @BOOK{ Motteler-1975, AUTHOR = "Zane C. Motteler", TITLE = "Functions of Complex Variables, an Introduction", PUBLISHER = "Intext Educational Publishers", ADDRESS = NY, YEAR = 1975 } @BOOK{ Muller-1966, AUTHOR = "Claus M{\"u}ller", TITLE = "Spherical Harmonics", PUBLISHER = Springer, ADDRESS = NY, YEAR = 1966 } @BOOK{ Munkres-1966, AUTHOR = "James R. Munkres", TITLE = "Elementary Differential Topology", PUBLISHER = PUP, ADDRESS = Princeton, YEAR = 1966 } @BOOK{ Munkres-1975, AUTHOR = "James R. Munkres", TITLE = "Topology, A First Course", PUBLISHER = PH, ADDRESS = EngCliffs, YEAR = 1975 } @BOOK{ Munkres-1991, AUTHOR = "James R. Munkres", TITLE = "Analysis on Manifolds", PUBLISHER = AW, ADDRESS = "Redwood City, California", YEAR = 1991 } @ARTICLE{ Myers-1949, AUTHOR = "S. B. Myers", TITLE = "Spaces of continuous functions", JOURNAL = BAMS, VOLUME = 55, MONTH = Apr, YEAR = 1949, PAGES = "402--407" } @BOOK{ Nagel-1958, AUTHOR = "Ernest Nagel and James R. Newman", TITLE = "G{\"o}del's Proof", PUBLISHER = NYUP, ADDRESS = NY, YEAR = 1958 } @BOOK{ Narayana-1979, EDITOR = "T. V. Narayana", TITLE = "Lattice path combinatorics with statistical applications", PUBLISHER = "University of Toronto Press", ADDRESS = "Toronto", YEAR = 1979 } @BOOK{ Nederpelt-1994, EDITOR = "R. P. Nederpelt and J. H. Geuvers and R. C. {de Vrijer}", TITLE = "Selected Papers on Automath", SERIES = "Studies in Logic and the Foundations of Mathematics", VOLUME = 133, PUBLISHER = Elsevier, ADDRESS = NY, YEAR = 1994 } @BOOK{ Needham-1997, AUTHOR = "Tristan Needham", TITLE = "Visual Complex Analysis", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1997 } @BOOK{ Neumaier-1990, AUTHOR = "Arnold Neumaier", TITLE = "Interval Methods for Systems of Equations", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1990, Keywords = "Krawczyk's method, interval Gauss-Seidel" } @BOOK{ Neumann-1994, AUTHOR = "Peter M. Neumann and Gabrielle A. Stoy and Edward C. Thompson", TITLE = "Groups and Geometry", PUBLISHER = Oxford, ADDRESS = NY, YEAR = 1994 } @ARTICLE{ Neumann-1998, AUTHOR = "Peter M. Neumann", TITLE = "Reflections on Reflection in a Spherical Mirror", JOURNAL = AMM, VOLUME = 105, NUMBER = 6, MONTH = "June--July", YEAR = 1998, PAGES = "523--528" } @ARTICLE{ Newman-1847a, AUTHOR = "Francis W. Newman", TITLE = "Investigation of the Integral $\int_0^\infty \sin x / x \; dx$", JOURNAL = C&DMJ, VOLUME = "II", YEAR = 1847, PAGES = "75--76" } @ARTICLE{ Newman-1847b, AUTHOR = "Francis W. Newman", TITLE = "On Logarithmic Integrals of the Second Order", JOURNAL = C&DMJ, VOLUME = "II", YEAR = 1847, PAGES = "77--100" } @BOOK{ Newman-1892, AUTHOR = "Francis W. Newman", TITLE = "The Higher Trigonometry and Superrationals of Second Order", PUBLISHER = "Macmillan and Bowes", YEAR = 1892 } @BOOK{ Newman-1956, EDITOR = "J. R. Newman", TITLE = "The World of Mathematics. Four volumes", PUBLISHER = S&S, ADDRESS = NY, YEAR = 1956 } @BOOK{ Nguyen-1997, AUTHOR = "Hung T. Nguyen and Elbert A. Walker", TITLE = "A First Course in Fuzzy Logic", PUBLISHER = CRC, ADDRESS = NY, YEAR = 1997 } @INCOLLECTION{ Noble-1972, AUTHOR = "Ben Noble", TITLE = "Error analysis of collocation methods for solving {Fredholm} integral equations", BOOKTITLE = "Topics in Numerical Analysis", VOLUME = 1, EDITOR = "John J. H. Miller", PUBLISHER = AP, ADDRESS = NY, YEAR = 1972, PAGES = "211--232" } @ARTICLE{ Nystrom-1930, AUTHOR = "E. J. Nystr{\"o}m", TITLE = "{\"U}ber die {Praktische} {Aufl{\"o}sung} von {Integralgleichingen} mit {Anwerdungen} auf {Randwertanfgaben}", JOURNAL = ActaMath, VOLUME = 54, YEAR = 1930, PAGES = "185--204" } @BOOK{ Okikiolu-1971, AUTHOR = "George O. Okikiolu", TITLE = "Aspects of the Theory of Bounded Integral Operators in {$L^p$} Spaces", PUBLISHER = AP, ADDRESS = NY, YEAR = 1971 } @BOOK{ ONeill-1966, AUTHOR = "Barrett O'Neill", TITLE = "Elementary Differential Geometry", PUBLISHER = AP, ADDRESS = NY, YEAR = 1966 } @BOOK{ Orlik-1989, AUTHOR = "Peter Orlik", TITLE = "Introduction to Arrangements", SERIES = "Regional Conference Series in Mathematics", VOLUME = 72, PUBLISHER = AMS, ADDRESS = Prov, YEAR = 1962 } @BOOK{ Ortega-1970, AUTHOR = "J. M. Ortega and W. C. Rheinboldt", TITLE = "Iterative Solution of Nonlinear Equations in Several Variables", PUBLISHER = AP, ADDRESS = NY, YEAR = 1970 } @BOOK{ Ortega-1972, AUTHOR = "James M. Ortega", TITLE = "Numerical Analysis, a Second Course", PUBLISHER = AP, ADDRESS = NY, YEAR = 1972 } @BOOK{ Ostaszewski-1990, AUTHOR = "Adam Ostaszewski", TITLE = "Advanced Mathematical Methods", PUBLISHER = CUP, ADDRESS = NY, YEAR = 1990 } @BOOK{ Oxtoby-1970, AUTHOR = "John C. Oxtoby", TITLE = "Measure and Category", SERIES = "Graduate Texts in Mathematics", VOLUME = 2, PUBLISHER = Springer, ADDRESS = NY, YEAR = 1970 } @BOOK{ Packel-1980, AUTHOR = "Edward W. Packel", TITLE = "Functional Analysis: A Short Course", PUBLISHER = Krieger, ADDRESS = NY, YEAR = 1980 } @BOOK{ Payne-1986, EDITOR = "Fred R. Payne", TITLE = "Integral Methods in Science and Engineering", PUBLISHER = "Hemisphere Publishing Corporation", ADDRESS = NY, YEAR = 1986 } @BOOK{ Pedhazur-1991, AUTHOR = "E. J. Pedhazur and L. P. Schmelkin", TITLE = "Measurement, design, and analysis: An integrated approach", PUBLISHER = LEA, ADDRESS = "Hillsdale, New Jersey", YEAR = 1991 } @BOOK{ Pedrycz-1998, AUTHOR = "Witold Pedrycz and Fernando Gomide", TITLE = "An Introduction to Fuzzy Sets: Analysis and Design", PUBLISHER = MIT, ADDRESS = CambMass, YEAR = 1998 } @ARTICLE{ Pell-1911, AUTHOR = "Anna J. Pell", TITLE = "Applications of Biorthogonal Systems of Functions to the Theory of Integral Equations", JOURNAL = AMS-Tr, VOLUME = 12, MONTH = Apr, YEAR = 1911, PAGES = "165--180" } @ARTICLE{ Peters-1970, AUTHOR = "G. Peters and J. H. Wilkinson", TITLE = "The least squares problem and pseudo-inverses", JOURNAL = TCJ, VOLUME = 13, NUMBER = 3, MONTH = Aug, YEAR = 1970, PAGES = "309--316" } @BOOK{ Petkov-1992, EDITOR = "Vesselin M. Petkov and Luchezar N. Stoyanov", TITLE = "Geometry of Reflecting Rays and Inverse Spectral Problems", PUBLISHER = Wiley, ADDRESS = NY, YEAR = 1992 } @ARTICLE{ Petryshyn-1963, AUTHOR = "W. V. Petryshyn", TITLE = "On a general iterative method for the approximate solution of linear operator equations", JOURNAL = MComp, VOLUME = 17, YEAR = 1963, PAGES = "1--10" } @ARTICLE{ Phillips-1943, AUTHOR = "R. S. Phillips", TITLE = "On Weakly Compact Subsets of a {Banach} Space", JOURNAL = AJM, VOLUME = 65, YEAR = 1943, PAGES = "108--136" } @ARTICLE{