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| dover books on mathematics: The Number System H. A. Thurston, 2012-10-23 This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition. |
| dover books on mathematics: Mathematics for Physicists Philippe Dennery, André Krzywicki, 2012-06-11 Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition. |
| dover books on mathematics: Makers of Mathematics Stuart Hollingdale, 2006-01-01 Each chapter of this portrait of the evolution of mathematics examines the work of an individual — Archimedes, Descartes, Fermat, Pascal, Newton, Einstein, and others — to explore the mathematics of his era. Rather than a series of biographical profiles, readers encounter an accessible chronology of pioneering developments in mathematics. 1989 edition. |
| dover books on mathematics: Introductory Discrete Mathematics V. K. Balakrishnan, 1996-01-01 This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. Geared toward mathematics and computer science majors, it emphasizes applications, offering more than 200 exercises to help students test their grasp of the material and providing answers to selected exercises. 1991 edition. |
| dover books on mathematics: Introduction to Proof in Abstract Mathematics Andrew Wohlgemuth, 2014-06-10 The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses. |
| dover books on mathematics: Basic Concepts in Modern Mathematics John Edward Hafstrom, 2013-01-01 An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition. |
| dover books on mathematics: Introduction to Logic Patrick Suppes, 1999-01-01 Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates. |
| dover books on mathematics: A Book of Abstract Algebra Charles C Pinter, 2010-01-14 Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition. |
| dover books on mathematics: Mathematics and the Physical World Morris Kline, 2012-03-15 Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena. |
| dover books on mathematics: Linear Algebra Georgi E. Shilov, 2012-04-26 Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, and more. |
| dover books on mathematics: Concepts of Modern Mathematics Ian Stewart, 2012-05-23 In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations. |
| dover books on mathematics: Introduction to Probability John E. Freund, 2012-05-11 Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition. |
| dover books on mathematics: Topos Theory P.T. Johnstone, 2014-01-15 Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and other subjects. 1977 edition. |
| dover books on mathematics: Mathematics for Operations Research W. H. Marlow, 1993-01-01 Practical and applications-oriented, this text explains effective procedures for performing mathematical tasks that arise in many fields, including operations research, engineering, systems sciences, statistics, and economics. Most of the examples and many of the 1,300 problems illustrate techniques, and nearly all of the tables display reference material for procedures. 1978 edition. |
| dover books on mathematics: Intriguing Mathematical Problems Oswald Jacoby, William H. Benson, 2013-05-23 Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions. |
| dover books on mathematics: Introduction to Graph Theory Richard J. Trudeau, 2013-04-15 Aimed at the mathematically traumatized, this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition. |
| dover books on mathematics: Elementary Real and Complex Analysis Georgi E. Shilov, Georgij Evgen'evi? Šilov, Richard A. Silverman, 1996-01-01 Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition. |
| dover books on mathematics: The Mathematics of Games of Strategy Melvin Dresher, 2012-11-14 This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research. |
| dover books on mathematics: The Mathematics of Games John D. Beasley, 1990 Examines the mathematics used in such games as peg solitaire and Rubik's cube, and shows how studying these mathematical principals can provide a better understanding of different games |
| dover books on mathematics: Abstract Algebra W. E. Deskins, 1995-01-01 This excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. These systems, which consist of sets of elements, operations, and relations among the elements, and prescriptive axioms, are abstractions and generalizations of various models which evolved from efforts to explain or discuss physical phenomena. In Chapter 1, the author discusses the essential ingredients of a mathematical system, and in the next four chapters covers the basic number systems, decompositions of integers, diophantine problems, and congruences. Chapters 6 through 9 examine groups, rings, domains, fields, polynomial rings, and quadratic domains. Chapters 10 through 13 cover modular systems, modules and vector spaces, linear transformations and matrices, and the elementary theory of matrices. The author, Professor of Mathematics at the University of Pittsburgh, includes many examples and, at the end of each chapter, a large number of problems of varying levels of difficulty. |
| dover books on mathematics: Complex Variables Stephen D. Fisher, 2012-04-25 Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices. |
| dover books on mathematics: Prelude to Mathematics Walter Warwick Sawyer, 1982-01-01 A noted educator's account of some of the more stimulating and surprising branches of mathematics, this volume profiles the mathematical mind and the aims of mathematics. Five introductory chapters offer conceptual groundwork, and subsequent chapters present lucid, accessible explorations of non-Euclidean geometry, matrices, determinants, group theory, and related topics. 1955 edition. |
| dover books on mathematics: Curvature in Mathematics and Physics Shlomo Sternberg, 2012-01-01 As astronaut Donald K. Slayton notes in his Foreword, this chronicle emphasizes the cooperation of humans on space and on the ground. It realistically balances the role of the highly visible astronaut with the mammoth supporting team. An official NASA publication, Suddenly, Tomorrow Came is profusely illustrated with forty-four figures and tables, plus sixty-three photographs. Historian Paul Dickson brings the narrative up to date with an informative new Introduction. |
| dover books on mathematics: The Enjoyment of Mathematics Hans Rademacher, Otto Toeplitz, 1990-01-01 Requiring only a basic background in plane geometry and elementary algebra, this classic poses 28 problems that introduce the fundamental ideas that make mathematics truly exciting. Excellent . . . a thoroughly enjoyable sampler of fascinating mathematical problems and their solutions—Science Magazine. |
| dover books on mathematics: Fourier Series Georgi P. Tolstov, 2012-03-14 This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and more. Over 100 problems. 1962 edition. |
| dover books on mathematics: The Development of Mathematics E. T. Bell, 2012-09-11 Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition. |
| dover books on mathematics: Mathematics for the General Reader E.C. Titchmarsh, 2017-04-19 A first-class mathematician's lucid, unhurried account of the science of numbers from arithmetic through the calculus. — James R. Newman, The World of Mathematics. This highly accessible introduction to mathematics is geared toward readers seeking a firm grasp of the essentials of mathematical theory and practice. The treatment also offers a concise outline of mathematical history and a clearer notion of why mathematicians do what they do. Author E. C. Titchmarsh, who served for many years as Savilian Professor of Geometry at Oxford University, begins with counting and the fundamentals of arithmetic. He guides readers through the complexities of algebra, fractions, geometry, irrational numbers, logarithms, infinite series, complex numbers, quadratic equations, trigonometry, functions, and integral and differential calculus. Titchmarsh's graceful, fluid style helps make complicated topics easier to grasp, and his inclusion of numerous examples will prove especially helpful to readers with little or no background in mathematics. |
| dover books on mathematics: Basic Concepts of Mathematics and Logic Michael C. Gemignani, 1968 |
| dover books on mathematics: Foundations of Mathematical Analysis Richard Johnsonbaugh, W.E. Pfaffenberger, 2012-09-11 Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition. |
| dover books on mathematics: Number Theory George E. Andrews, 2012-04-30 Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more. |
| dover books on mathematics: A Short Account of the History of Mathematics Walter William Rouse Ball, 1908 |
| dover books on mathematics: Mathematics of Relativity George Yuri Rainich, 2014-08-20 Concise treatment, based on ideas of Einstein and Minkowski, geared toward advanced undergraduates and graduate students of physics. Topics include old physics, new geometry, special relativity, curved space, and general relativity. 1950 edition. |
| dover books on mathematics: The Equations World Boris Pritsker, 2019-08-14 Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds. With his masterful ability to convey the excitement and elegance of mathematics, author Boris Pritsker explores equations from the simplest to the most complex—their history, their charm, and their usefulness in solving problems. The Equations World bridges the fields of algebra, geometry, number theory, and trigonometry, solving more than 280 problems by employing a wide spectrum of techniques. The author demystifies the subject with efficient hints, tricks, and methods that reveal the fun and satisfaction of problem solving. He also demonstrates how equations can serve as important tools for expressing a problem's data, showing the ways in which they assist in fitting parts together to solve the whole puzzle. In addition, brief historical tours reveal the foundations of mathematical thought by tracing the ideas and approaches developed by mathematicians over the centuries. Both recreational mathematicians and ambitious students will find this book an ample source of enlightenment and enjoyment. |
| dover books on mathematics: Counterexamples in Analysis Bernard R. Gelbaum, John M. H. Olmsted, 2012-07-12 These counterexamples deal mostly with the part of analysis known as real variables. Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition. |
| dover books on mathematics: Elements of Modern Mathematics Kenneth Ownsworth May, 1959 |
| dover books on mathematics: History Of Mathematics David Eugene Smith, Wooster Woodruff Beman, 2022-10-26 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| dover books on mathematics: Lectures on Linear Algebra I. M. Gelfand, 1961 |
| dover books on mathematics: The World of Mathematics James R. Newman, Philip Morrison, Phylis Morrison, 1988 |
| dover books on mathematics: Model Theory , 1973 |
| dover books on mathematics: Mathematics, Its Content, Methods, and Meaning Matematicheskiĭ institut im. V.A. Steklova, 1969 |
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