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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Integral EquationsThis classic text on integral equations by the late Professor F. G. Tricomi, of the Mathematics Faculty of the University of Turin, Italy, presents an authoritative, well-written treatment of the subject at the graduate or advanced undergraduate level. To render the book accessible to...
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Lie AlgebrasLie group theory, developed by M. Sophus Lie in the nineteenth century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of...
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Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical TablesDespite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of...
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Ordinary Differential EquationsThe theory of ordinary differential equations in real and complex domains is here clearly explained and analyzed. Not only classical theory, but also the main developments of modern times are covered. Exhaustive sections on the existence and nature of solutions, continuous transformation groups, the...
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Introduction to Stochastic ProcessesThis clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather...
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Vector CalculusTraditionally, linear algebra, vector analysis, and the calculus of functions of several variables are taught as separate subjects. This text explores their close relationship and establishes the underlying links. A rigorous and comprehensive introductory treatment, it features clear, readable proofs that illustrate the classical...
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Differential ManifoldsThe concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds. Author Antoni A. Kosinski, Professor...
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Basic Abstract Algebra: For Graduate Students and Advanced UndergraduatesGeared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of...
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Mathematics in Ancient GreeceMore than a history of mathematics, this lively book traces mathematical ideas and processes to their sources, stressing the methods used by the masters of the ancient world. Author Tobias Dantzig portrays the human story behind mathematics, showing how flashes of insight in the...
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Natural Deduction: A Proof-Theoretical StudyAn 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...
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Nonstandard AnalysisThis 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,...
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Mathematical Theory of ComputationAttempting 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.Author: Zohar MannaPublisher: Dover PublicationsPublished: 12/24/2003Pages: 448Binding Type: PaperbackWeight: 1.07lbsSize: 8.40h x...
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Tensor Calculus: A Concise CourseThis book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have a short survey before taking up one of the more voluminous textbooks on differential geometry. -- MathSciNet (Mathematical...
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The World of Mathematics, Vol. 1: Volume 1Vol. 1 of a monumental four-volume set includes a general survey of mathematics; historical and biographical information on prominent mathematicians throughout history; material on arithmetic, numbers and the art of counting, and the mathematics of space and motion. Nontechnical articles by and about scores...
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Mathematics and the Physical World"Kline is a first-class teacher and an able writer. . . . This is an enlarging and a brilliant book." ― Scientific American"Dr. Morris Kline has succeeded brilliantly in explaining the nature of much that is basic in math, and how it is used...
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Playing with InfinityThis popular account of the many mathematical concepts relating to infinity is one of the best introductions to this subject and to the entire field of mathematics. Dividing her book into three parts -- The Sorcerer's Apprentice, The Creative Role of Form, and The...
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Essays on the Theory of NumbersThis volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories...
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Differential Equations for DummiesThe fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations...
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StatisticsThe Fourth Edition has been carefully revised and updated to reflect current data.Author: David Freedman, Robert Pisani, Roger PurvesPublisher: W. W. Norton & CompanyPublished: 03/01/2007Pages: 720Binding Type: HardcoverWeight: 3.20lbsSize: 10.10h x 7.50w x 1.60dISBN: 9780393929720Review Citation(s): Scitech Book News 06/01/2007 pg. 26About the AuthorFreedman,...
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100 Essential Things You Didn't Know You Didn't Know about Math and the ArtsAt first glance, the worlds of math and the arts might not seem like comfortable neighbors. But as mathematician John D. Barrow points out, they have a strong and natural affinity--after all, math is the study of all patterns, and the world of the...
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