Mathematics

10969 books

$16.15

by Solomon Lefschetz (Author)This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. The book opens with an overview of the results required from algebra and p...

Generalized Functions and Partial Differential Equations - Paperback

$21.55

by Avner Friedman (Author)This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy probl...

Harmonic Analysis and the Theory of Probability - Paperback

$13.99

by Salomon Bochner (Author)Nineteenth-century studies of harmonic analysis were closely linked with the work of Joseph Fourier on the theory of heat and with that of P. S. Laplace on probability. During the 1920s, the Fourier transform developed into one of the most effective tools of modern probabilistic research; conversely, the demands of the probability theory stimulated further research into harmonic analysis.Mathematician Salomon Bochner wrote a pair of landmark books on the subject in ...

Natural Deduction: A Proof-Theoretical Study - Paperback

$9.95

by Dag Prawitz (Author)An innovative approach to the semantics of logic, proof-theoretic semantics seeks the meaning of propositions and logical connectives within a system of inference. Gerhard Gentzen invented proof-theoretic semantics in the early 1930s, and Dag Prawitz, the author of this study, extended its analytic proofs to systems of natural deduction. Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern...

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by Magnus J. Wenninger (Author)Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.Empl...

Nonlinear Programming: Analysis and Methods - Paperback

$32.35

by Mordecai Avriel (Author)This text provides an excellent bridge between principal theories and concepts and their practical implementation. Topics include convex programming, duality, generalized convexity, analysis of selected nonlinear programs, techniques for numerical solutions, and unconstrained optimization methods. Number of Pages: 512 Dimensions: 1.08 x 8.66 x 5.22 IN Illustrated: Yes Publication Date: September 16, 2003

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by C. V. Durell (Author), A. Robson (Author)This volume will provide a welcome resource for teachers seeking an undergraduate text on advanced trigonometry, when few are readily available. Ideal for self-study, this text offers a clear, logical presentation of topics and an extensive selection of problems with answers. Contents include the properties of the triangle and the quadrilateral; equations, sub-multiple angles, and inverse functions; hyperbolic, logarithmic, and exponential functions...

The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems, and Computable Functions - Paperback

$24.95

by Martin Davis (Editor)A valuable collection both for original source material as well as historical formulations of current problems. -- The Review of MetaphysicsMuch more than a mere collection of papers. A valuable addition to the literature. -- Mathematics of ComputationAn anthology of fundamental papers on undecidability and unsolvability by major figures in the field, this classic reference is ideally suited as a text for graduate and undergraduate courses in logic, philosophy, and fou...

Pearls in Graph Theory: A Comprehensive Introduction - Paperback

$19.95

by Nora Hartsfield (Author), Gerhard Ringel (Author)Innovative introductory text . . . clear exposition of unusual and more advanced topics . . . Develops material to substantial level. -- American Mathematical MonthlyRefreshingly different . . . an ideal training ground for the mathematical process of investigation, generalization, and conjecture leading to the discovery of proofs and counterexamples. -- American Mathematical Monthly . . . An excellent textbook for an undergraduate course. -...

A Manual of Greek Mathematics - Paperback

$32.35

by Sir Thomas L. Heath (Author)This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Written by a distinguished scholar and mathematician, the well-written, nontechnical text is geared toward high school, college, and graduate students, teachers, and those seeking a historical perspective on mathematics. Topics include Pythagorean arithmetic, Plato's use and philosophy of mathematics,...

Complex Variable Methods in Elasticity - Paperback

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by A. H. England (Author)The plane strain and generalized plane stress boundary value problems of linear elasticity are the focus of this graduate-level text, which formulates and solves these problems by employing complex variable theory. The text presents detailed descriptions of the three basic methods that rely on series representation, Cauchy integral representation, and the solution via continuation. Its five-part treatment covers functions of a complex variable, the basic equations of ...

Linear Algebra and Geometry: A Second Course - Paperback

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by Irving Kaplansky (Author)The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. This volume features examples, exercises, and proofs. 1974 edition. Number of Pages: 143 Dimensions: 0.38 x 8.54 x 5.3 IN Illustrated: Yes Publication Date: August 15, 2003

Methods of Operations Research - Paperback

$21.55

by Philip M. Morse (Author), George E. Kimball (Author), Saul I. Gass (Introduction by)Operations research originated during World War II with the military's need for a scientific method of providing executive departments with a quantitative decision-making basis. This volume -- co-written by the father of operations research and one of his closest associates -- originally appeared in classified form but was later made available to scientists, engineers, and other nonmilitary professionals. T...

The Theory of Matrices in Numerical Analysis - Paperback

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by Alston S. Householder (Author)This text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Suitable for advanced undergraduates and graduate students, it assumes an understanding of the general principles of matrix algebra, including the Cayley-Hamilton theorem, characteristic roots and vectors, and linear dependence.An introductory chapter covers the Lanczos...

Conformal Mapping: Methods and Applications - Paperback

$35.59

by Roland Schinzinger (Author), Patricio A. a. Laura (Joint Author)Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides; and much more. Revision of 1991 edition. Includes 247 figures and 38 tables. Appendices. Number of Pages: 583 Di...

Games, Theory and Applications - Paperback

$32.35

by L. C. Thomas (Author)This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition. Number of Pages: 279 Dimensions: 0.56 x 8.58 x 5.4 IN Illustrated: Yes Publication Date: December 08, 2003

Mathematical Theory of Computation - Paperback

$26.95

by Zohar Manna (Author)Attempting to make into a science the art of verifying computer programs (debugging), the author addresses both practical and theoretical aspects. This self-contained treatment includes selected concepts of computability theory and mathematical logic. Number of Pages: 448 Dimensions: 0.95 x 8.4 x 5.5 IN Illustrated: Yes Publication Date: December 24, 2003

Statistical and Inductive Probabilities - Paperback

$11.83

by Hugues LeBlanc (Author)This even-handed treatment addresses the decades-old dispute among probability theorists, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former. Discusses sentence theory, set theory, statistical probabilities, inductive probabilities, more. Illustrations and footnotes elucidate definitions, theorems, and technicalities. 1962 edition. Number of Pages: 148 D...

Factorization Methods for Discrete Sequential Estimation - Paperback

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by Gerald J. Bierman (Author)This estimation reference text thoroughly describes matrix factorization methods successfully employed by numerical analysts, familiarizing readers with the techniques that lead to efficient, economical, reliable, and flexible estimation algorithms.Topics include a review of least squares data processing and the Kalman filter algorithm; positive definite matrices, the Cholesky decomposition, and some of their applications; Householder orthogonal transformations; s...

The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order - Paperback

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by Keith B. Oldham (Author), Jerome Spanier (Author)The product of a collaboration between a mathematician and a chemist, this text is geared toward advanced undergraduates and graduate students. Not only does it explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Rather than an exhaustive treatment, it represents an introduction that will appeal to a broad spectrum of students. Accor...

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by Denis R. Bell (Author)This introductory text presents detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these two approaches, and a variety of applications. 1987 edition. Number of Pages: 113 Dimensions: 0.26 x 8.52 x 5.52 IN Illustrated: Yes Publication Date: April 07, 2006

Semi-Simple Lie Algebras and Their Representations - Paperback

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by Robert N. Cahn (Author)Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representatio...

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by J. F. Steffensen (Author)In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. This rigorous presentation employs only formulas for which it is possible to calculate error limits. Subjects include displacement symbols and differences, divided differences, formulas of interpolation, factorial coefficients, numerical differentiation, and construction...

Peturbation Techniques in Mathematics, Engineering & Physics - Paperback

$10.75

by Richard Bellman (Author)An introduction to a variety of perturbation techniques for ordinary differential equations, this work outlines applications through specific examples. Mathematicians, engineers, and applied scientists will find its exposition entirely accessible.The first part covers the classical perturbation techniques. Dr. Bellman begins with a readily solved linear algebraic equation that exhibits some of the versatility of the Lagrange expansion theorem. This leads by easy sta...

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by Henri Cartan (Author)Cartan's work provides a superb text for an undergraduate course in advanced calculus, but at the same time it furnishes the reader with an excellent foundation for global and nonlinear algebra. -- Mathematical ReviewBrilliantly successful. -- Bulletin de l'Association des Professeurs de MathematiquesThe presentation is precise and detailed, the style lucid and almost conversational . . . clearly an outstanding text and work of reference. -- AnnalesCartan's Formes Diff...

Calculus: Problems and Solutions - Paperback

$32.35

by A. Ginzburg (Author)Ideal for self-instruction as well as for classroom use, this text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. More than 1,200 problems appear in the text, with concise explanations of the basic notions and theorems to be used in their solution. Many are followed by complete answers; solutions for the others appear at the end of the book. Topics include sequences, functions of a single variabl...

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by Alain M. Robert (Author)This wonderful little book by Alain Robert should bring about a complete change in the learning of NSA. The author has accomplished a rare feat in the educational literature. He has succeeded in writing a book which is simple and brilliant, deep and witty, short and far-ranging. This is mathematics teaching at its best. -- J.-M. Lévy-Leblond, European Journal of PhysicsBrief and readable, this introduction to nonstandard analysis is based on the axiomatic IST (inter...

Linear Programming: Methods and Applications - Paperback

$29.95

by Saul I. Gass (Author)"One of the best introductory books on linear programming ... excellent." -- Journal of the American Statistical Association."A good elementary text. "-- Mathematical Reviews.Clear and comprehensive in its coverage of the entire spectrum of linear programming techniques, this volume introduces theoretical, computational, and applied concepts. Considerations of theoretical and computational methods include the general linear programming problem, the simplex computationa...

Mathematical Logic: A First Course - Paperback

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by Joel W. Robbin (Author)Suitable for advanced undergraduates and graduate students, this self-contained text will appeal to readers from diverse fields and varying backgrounds -- including mathematics, philosophy, linguistics, computer science, and engineering. It features numerous exercises of varying levels of difficulty, many with solutions.A survey of the propositional calculus is followed by chapters on first-order logic and first-order recursive arithmetic. An examination of the arith...

$15.95

by David B. Gauld (Author)This text covers topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, tangent spaces, vector fields and integral curves, Whitney's embedding theorem, more. Includes 88 helpful illustrations. 1982 edition. Number of Pages: 258 Dimensions: 0.52 x 9.24 x 6.12 IN Illustrated: Yes Publication Date: March 24, 2006

Sociodynamics: A Systematic Approach to Mathematical Modelling in the Social Sciences - Paperback

$26.95

by Wolfgang Weidlich (Author)Highly recommended. . . . This is an important book in putting the burgeoning field of sociodynamics on a solid footing.--Journal of Artificial Societies and Social SimulationThis text deals with general modelling concepts in the social sciences, their applications, and their mathematical methods. The author's well-organized approach offers a clear, coherent introduction to terminology, approaches, and goals in modelling. Appropriate for advanced undergraduates an...

Topoi: The Categorial Analysis of Logic - Paperback

$29.95

by Robert Goldblatt (Author)A classic introduction to mathematical logic from the perspective of category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers. Its approach moves always from the particular to the general, following through the steps of the abstraction process until the abstract concept emerges naturally.Beginning with a survey of set theory and its role in mathematics, the te...