Dover Publications / Collection : Dover Books on Mathematics

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Short-Cut Math

by Gerard W. Kelly Dover Publications (March 23, 2012)

Can you multiply 362 x .5 quickly in your head? Could you readily calculate the square of 41? How much is 635 divided by 2½? Can 727,648 be evenly divided by 8?

If any of these questions took you more than...


Popular Lectures on Mathematical Logic

by Hao Wang Dover Publications (September 22, 2014)

A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories...


Linear Programming: An Introduction to Finite Improvement Algorithms: Second Edition

by Daniel Solow Dover Publications (August 11, 2014)

Suitable for undergraduate students of mathematics and graduate students of operations research and engineering, this text covers the basic theory and computation for a first course in linear programming. In...


Partially Ordered Algebraic Systems

by Laszlo Fuchs Dover Publications (March 05, 2014)

This monograph by a distinguished mathematician constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The high-level, self-contained treatment...


Studies in the Theory of Random Processes

by A. V. Skorokhod Dover Publications (July 28, 2014)

This text is devoted to the development of certain probabilistic methods in the specific field of stochastic differential equations and limit theorems for Markov processes. Specialists, researchers, and students...


Golf on the Moon: Entertaining Mathematical Paradoxes and Puzzles

by Dick Hess Dover Publications (August 21, 2013)

Divide a rectangular cake into five even pieces, calculate the cost of running a successful casino, figure out the maximum number of losses on the road to winning the U.S. Open Tennis Championship, and solve...


Elements of Real Analysis

by David A. Sprecher Dover Publications (March 28, 2012)

This classic text in introductory analysis delineates and explores the intermediate steps between the basics of calculus and the ultimate stage of mathematics: abstraction and generalization.

Since many abstractions...


Generalized Functions and Partial Differential Equations

by Avner Friedman Dover Publications (November 30, 2011)

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....


Conformal Mapping on Riemann Surfaces

by Harvey Cohn Dover Publications (May 05, 2014)

Lucid, insightful exploration reviews complex analysis, introduces Riemann manifold, shows how to define real functions on manifolds, and more. Perfect for classroom use or independent study. 344 exercises....


Basic Methods of Linear Functional Analysis

by John D. Pryce Dover Publications (May 05, 2014)

Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. Numerous...


A Survey of Matrix Theory and Matrix Inequalities

by Marvin Marcus & Henryk Minc Dover Publications (November 06, 2012)

Concise yet comprehensive survey covers broad range of topics: convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, much...


Complex Variables for Scientists and Engineers: Second Edition

by John D. Paliouras & Douglas S. Meadows Dover Publications (February 19, 2014)

Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus...


The Divine Proportion

by H. E. Huntley Dover Publications (May 11, 2012)

Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between...


Lectures on Analytic and Projective Geometry

by Dirk J. Struik Dover Publications (March 05, 2014)

This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.


The Calculus Primer

by William L. Schaaf Dover Publications (March 05, 2014)

Comprehensive but concise, this workbook is less rigorous than most calculus texts. Topics include functions, derivatives, differentiation of algebraic functions, partial differentiation, indeterminate forms,...


Algebraic Equations: An Introduction to the Theories of Lagrange and Galois

by Edgar Dehn Dover Publications (August 08, 2012)

This text focuses on the basics of algebraic theory, giving detailed explanations of integral functions, permutations, and groups, and Lagrange and Galois theory. Many numerical examples with complete solutions....


Calculus: Problems and Solutions

by A. Ginzburg Dover Publications (May 17, 2012)

Ideal for self-instruction as well as for classroom use, this text improves understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete...


Integral Equations

by F. G. Tricomi Dover Publications (March 30, 2012)

Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions,...


General Topology

by Stephen Willard Dover Publications (June 14, 2012)

Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises....


Paradoxes in Mathematics

by Stanley J. Farlow Dover Publications (February 20, 2014)

Students and puzzle enthusiasts will get plenty of enjoyment plus some painless mathematical instruction from 28 conundrums, including The Curve That Shook the World, Space Travel in a Wineglass, and Through...


Infinite Sequences and Series

by Konrad Knopp Dover Publications (August 17, 2012)

Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and...


What Is Mathematical Logic?

by J. N. Crossley, C.J. Ash, C.J. Brickhill & J.C. Stillwell Dover Publications (August 01, 2012)

A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg,...


Non-Euclidean Geometry

by Roberto Bonola Dover Publications (July 18, 2012)

Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss,...


Asymptotic Expansions

by A. Erdélyi Dover Publications (March 30, 2012)

Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.


Advanced Euclidean Geometry

by Roger A. Johnson Dover Publications (December 11, 2012)

This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.


Mathematical Conversations: Multicolor Problems, Problems in the Theory of Numbers, and Random Walks

by E. B. Dynkin & V. A. Uspenskii Dover Publications (October 30, 2013)

Comprises Multicolor Problems, dealing with map-coloring problems; Problems in the Theory of Numbers, an elementary introduction to algebraic number theory; Random Walks, addressing basic problems in probability...


History of the Theory of Numbers, Volume II: Diophantine Analysis

by Leonard Eugene Dickson Dover Publications (September 19, 2013)

Written by a distinguished University of Chicago professor, this 2nd volume in the series History of the Theory of Numbers presents material related to Diophantine Analysis. 1919 edition.


The Theory of Algebraic Numbers

by Harry Pollard & Harold G. Diamond Dover Publications (June 14, 2012)

Excellent intro to basics of algebraic number theory. Gausian primes; polynomials over a field; algebraic number fields; algebraic integers and integral bases; uses of arithmetic in algebraic number fields;...


The Origins of Cauchy's Rigorous Calculus

by Judith V. Grabiner Dover Publications (April 13, 2012)

This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series,...


Ruler and the Round: Classic Problems in Geometric Constructions

by Nicholas D. Kazarinoff Dover Publications (August 14, 2012)

An intriguing look at the "impossible" geometric constructions (those that defy completion with just a ruler and a compass), this book covers angle trisection and circle division. 1970 edition.


Introduction to Combinatorial Analysis

by John Riordan Dover Publications (March 30, 2012)

Introductory text surveys the theory of permutations and combinations associated with elementary algebra; the principle of inclusion and exclusion; and the theory of distributions and partitions in cyclic representation....


Introduction to the Theory of Sets

by Joseph Breuer & Howard F. Fehr Dover Publications (July 12, 2012)

This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition....


Cartesian Tensors: An Introduction

by G. Temple Dover Publications (April 06, 2012)

This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960...


Euclidean Geometry and Transformations

by Clayton W. Dodge Dover Publications (March 29, 2012)

This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972...


Essays on the Theory of Numbers

by Richard Dedekind Dover Publications (June 14, 2012)

Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties...


A History of Mathematical Notations

by Florian Cajori Dover Publications (September 26, 2013)

This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival....


Problems in Differential Equations

by J. L. Brenner Dover Publications (November 06, 2013)

More than 900 problems and answers explore applications of differential equations to vibrations, electrical engineering, mechanics, and physics. Problem types include both routine and nonroutine, and stars indicate...


Introduction to the Calculus of Variations

by Hans Sagan Dover Publications (March 29, 2012)

Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition....


Optimization Theory with Applications

by Donald A. Pierre Dover Publications (June 14, 2012)

Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more....


Topological Vector Spaces and Distributions

by John Horvath Dover Publications (October 03, 2013)

Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966...


Tensor and Vector Analysis: With Applications to Differential Geometry

by C. E. Springer Dover Publications (August 29, 2013)

Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry....


Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

by A. A. Sveshnikov Dover Publications (April 02, 2012)

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.


Introduction to Non-Euclidean Geometry

by Harold E. Wolfe Dover Publications (September 26, 2013)

College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry....


Permutation Groups

by Donald S. Passman Dover Publications (October 03, 2013)

Lecture notes by a prominent authority provide a self-contained account of classification theorems. Includes work of Zassenhaus on Frobenius elements and sharply transitive groups, Huppert's theorem, more. 1968...


Model Theory: Third Edition

by C.C. Chang & H. Jerome Keisler Dover Publications (October 03, 2013)

This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and...


Topics in Number Theory, Volumes I and II

by William J. LeVeque Dover Publications (May 25, 2012)

Classic 2-part work now available in a single volume. Contents range from chapters on binary quadratic forms to the Thue-Siegel-Roth Theorem and the Prime Number Theorem. Includes problems and solutions. 1956...


Introduction to Partial Differential Equations and Hilbert Space Methods

by Karl E. Gustafson Dover Publications (March 29, 2012)

Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester...


Statistical Inference

by Vijay K. Rohatgi Dover Publications (May 08, 2013)

This treatment of probability and statistics examines discrete and continuous models, functions of random variables and random vectors, large-sample theory, more. Hundreds of problems (some with solutions)....


Advanced Trigonometry

by C. V. Durell & A. Robson Dover Publications (October 23, 2012)

This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes...


A Brief Introduction to Theta Functions

by Richard Bellman Dover Publications (November 05, 2013)

Brief but intriguing monograph on the theory of elliptic functions, written by a prominent mathematician. Spotlights high points of the fundamental regions and illustrates powerful, versatile analytic methods....