Mathematics
Discover top mathematics books, including the best textbooks, workbooks, and advanced engineering mathematics guides. Find essential mathematics dictionaries and the best books to learn math.
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Differential GeometryThis outstanding textbook by a distinguished mathematical scholar introduces the differential geometry of curves and surfaces in three-dimensional Euclidean space. The subject is presented in its simplest, most essential form, but with many explanatory details, figures and examples, and in a manner that conveys...
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Group Theory and Its Application to Physical ProblemsA remarkably intelligible survey . . . well organized, well written and very clear throughout. -- Mathematical ReviewsThis excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate...
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The Mathematics of Games of StrategyMelvin Dresher, noted research mathematician for the Rand Corporation, puts forth 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. The mathematical presentation is elementary in the sense...
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Introduction to Symbolic Logic and Its ApplicationsThis book is one of the clearest, most comprehensive and rigorous introductions to modern symbolic logic available in any language. Professor Carnap, a world authority on symbolic logic, develops the subject from elementary concepts and simple exercises through the construction and analysis of a...
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Geometry and Light: The Science of InvisibilityThe science of invisibility combines two of physics' greatest concepts: Einstein's general relativity and Maxwell's principles of electromagnetism. Recent years have witnessed major breakthroughs in the area, and the authors of this volume -- Ulf Leonhardt and Thomas Philbin of Scotland's University of St....
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Cohomology Operations and Applications in Homotopy TheoryCohomology operations are at the center of a major area of activity in algebraic topology. This technique for supplementing and enriching the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific geometric applications. For...
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Splines and Variational MethodsOne of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra. Its self-contained treatment explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter. The text's first half...
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Partial Differential Equations of Parabolic TypeThis accessible and self-contained treatment provides even readers previously unacquainted with parabolic and elliptic equations with sufficient background to understand research literature. Author Avner Friedman -- Director of the Mathematical Biosciences Institute at The Ohio State University -- offers a systematic and thorough approach...
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The Number SystemThe teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their...
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Calculus and StatisticsSelf-contained and suitable for undergraduate students, this text offers a working knowledge of calculus and statistics. It assumes only a familiarity with basic analytic geometry, presenting a coordinated study that develops the interrelationships between calculus, probability, and statistics.Starting with the basic concepts of function...
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Algebraic GeometryThis 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...
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Gauge Theory and Variational PrinciplesThis text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This...
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Applied Multivariate AnalysisGeared toward upper-level undergraduates and graduate students, this two-part treatment deals with the foundations of multivariate analysis as well as related models and applications. Starting with a look at practical elements of matrix theory, the text proceeds to discussions of continuous multivariate distributions, the...
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The Riemann Zeta-Function: Theory and ApplicationsA thorough and easily accessible account. -- MathSciNet, Mathematical Reviews on the Web, American Mathematical Society. This extensive survey presents a comprehensive and coherent account of Riemann zeta-function theory and applications. Starting with elementary theory, it examines exponential integrals and exponential sums, the Voronoi...
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Sequences, Combinations, LimitsIn a departure from traditional teaching methods, this text focuses on theory more than computations, relying on independent study. Its material is geared toward aspects of high-school mathematics that promise to prove particularly useful for future studies and work. The first of three chapters...
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Mathematics and the ImaginationYou don't have to love math to enjoy a hand of cards, a night at the casino, or a puzzle. But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors...
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The World of Mathematics, Vol. 4: Volume 4Vol. 4 of a monumental 4-volume set covers such topics as mathematical machines, mathematics in warfare, a mathematical theory of art, mathematics of the good, mathematics in literature, mathematics and music, and amusements, puzzles, and fancies. Individual contributions by A. M. Turing, Aldous Huxley,...
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Lewis Carroll's Games and PuzzlesWidely known as the author of Alice's Adventures in Wonderland and other books for children, Lewis Carroll (Charles L. Dodgson) also excelled as a mathematician and inventor of puzzles. Toward the end of his life, Carroll worked on a book of mathematical puzzles and...
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The Math Chef: Over 60 Math Activities and Recipes for KidsJust as cookies go with milk and peanut butter goes with jelly, math and cooking go hand in hand. This fun-filled book shows youexactly how. With more than 60 activities and recipes to try, you can practicemath while you cook Get a handle on...
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Field Experiments: Design, Analysis, and InterpretationWritten by two leading experts on experimental methods, this concise text covers the major aspects of experiment design, analysis, and interpretation in clear language. Students learn how to design randomized experiments, analyze the data, and interpret the findings. Beyond the authoritative coverage of the...
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