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10969 books
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by Gary Cornell (Editor), Joseph H. Silverman (Editor), Glenn Stevens (Editor)The book will focus on two major topics: (1) Andrew Wiles' recent proof of the Taniyama-Shimura-Weil conjecture for semistable elliptic curves; and (2) the earlier works of Frey, Serre, Ribet showing that Wiles' Theorem would complete the proof of Fermat's Last Theorem. In recognition of the historical significance of Fermat's Last Theorem, parts of the book will reflect on the history of the problem, while others w...
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by Lindsay N. Childs (Author)This book is written as an introduction to higher algebra for students with a background of a year of claculus. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra. Number of Pages: 522 Dimensions: 1.44 x 9.5 x 6.4 IN Illustrated: Yes Publication Date: January 14, 2000
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by Martin Davis (Author), Martin David (Author)Computers are everywhere today--at work, in the bank, in artist's studios, sometimes even in our pockets--yet they remain to many of us objects of irreducible mystery. How can today's computers perform such a bewildering variety of tasks if computing is just glorified arithmetic? The answer, as Martin Davis lucidly illustrates, lies in the fact that computers are essentially engines of logic. Their hardware and software embody concepts developed ...
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by Darrell Huff (Author), Carolyn R. Kinsey (Illustrator), Kristy Maria Huff (Designed by)Budgeting and personal finance, planning for retirement, buying a house, estimating travel and leisure expenses, estimating costs of home repair: modern life presents us with an array of calculations we need to make but may not know how. Now, with his trademark wry humor and simple language, Darrell Huff explains how to figure: the likely outcome of different investments; how much home insurance is enoug...
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by Lancelot Hogben (Author)Taking only the most elementary knowledge for granted, Lancelot Hogben leads readers of this famous book through the whole course from simple arithmetic to calculus. His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order--a language Hogben shows one can both master and enjoy.Back Jacke...
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by Ivor Grattan-Guinness (Author)He charts the growth of mathematics through its refinement by ancient Greeks and then medieval Arabs, to its systematic development by Europeans from the Middle Ages to the early twentieth century. This book describes the evolution of arithmetic and geometry, trigonometry and algebra; the interplay between mathematics, physics, and mathematical astronomy; and "new" branches such as probability and statistics. Authoritative and comprehensive, The Rainbow of Mat...
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by Sheila Tobias (Author)The new edition retains the author's pungent analysis of what makes math "hard" for otherwise successful people and how women, more than men, become victims of a gendered view of math. It has been substantially updated to incorporate new research on what we know and don't know about "sex differences" in brain organization and function, and it has been enlarged to include problems, puzzles, and strategies tried out in hundreds of math anxiety workshops Tobias and her c...
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by Bertrand Russell (Author)His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics. Number of Pages: 576 Dimensions: 1.06 x 8.25 x 5.54 IN Publication Date: February 01, 1996
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by Michael I. Meyerson (Author)From the impossibility of a perfectly democratic vote to a clarifying model for affirmative action debates, constitutional law professor and math enthusiast Michael Meyerson "provides an engaging and unusual perspective on the no-man's land between mathematics and the law" (John Allen Paulos). In thoroughly accessible and entertaining terms, Meyerson shows how the principle of probability influenced the outcomes of the O. J. Simpson trials; makes a convincing ca...
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by Rebecca Goldstein (Author)Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning--and brought him to the edge of madness. Number of Pages: 300 Dimensions: 0.73 x 8.1 x 5.42 IN Illustrated: Yes Publication Date: February 17, 2006
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by Paul Hoffman (Author)Syndicated columnist Paul Hoffman provides an acclaimed account of the world of modern mathematicians in the bestselling tradition of accessible scientists Stephen Jay Gould and Tracey Kidder. An extremely clever account.--The New Yorker.Front JacketNow anyone can understand what the mathematical geniuses are thinking . . . .* How topologists figured out the way to turn a smokestack into a bowling ball -- and why.* How game theorists discovered that to elect the candid...
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by I. Bernard Cohen (Author)The great historian of science I. B. Cohen explores how numbers have come to assume a leading role in science, in the operations and structure of government, in marketing, and in many other aspects of daily life. Consulting and collecting numbers has been a feature of human affairs since antiquity--taxes, head counts for military service--but not until the Scientific Revolution in the twelfth century did social numbers such as births, deaths, and marriages begin to...
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by Stanford Center on Conflict and Negotiat (Author), Kenneth J. Arrow (Editor), Robert H. Mnookin (Editor)Drawing on such diverse but related disciplines as economics, cognitive psychology, statistics, and game and decision-making theory, the book considers the barriers to successful negotiation in such areas as civil litigation, family law, arms control, labor management disputes, environmental treaty making, and politics. When does it pay for parties to a dispute to cooperate, and when to ...
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by David McAdams (Author)"The wise win before they fight, while the ignorant fight to win." So wrote Zhuge Liang, the great Chinese military strategist. He was referring to battlefield tactics, but the same can be said about any strategic situation. Even seemingly certain defeat can be turned into victory--whether in battle, business, or life--by those with the strategic vision to recognize how to "change the game" to their own advantage.The aim of David McAdams's Game-Changer is nothing less...
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by John D. Barrow (Author)At 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 arts is rich with pattern. Barrow whisks us through 100 thought-provoking and often whimsical intersections between math and many arts, from the golden ratios of Mondrian's rectangles and the curious fractal-like nature of ...
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by Phillip J. Davis (Author), Reuben Hersh (Author)This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities. Number of Pages: 464 Dimensions: 1.5 x 9 x 5.9 IN Illustrated: Yes Publication Date: September 29, 2010
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by Chris Chatfield (Author)This book illuminates the complex process of problem solving, including formulating the problem, collecting and analyzing data, and presenting the conclusions. Number of Pages: 325 Dimensions: 0.73 x 9.38 x 6.22 IN Publication Date: May 11, 1995
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by D. C. Goldrei (Author)Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes: The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers Defining natural numbers in terms of sets The potential paradoxes in set theory The Zermelo-Fraenkel axioms for set theory The axiom of choice The arithmetic of o...
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by Sybil Wolfram (Author)A basic introduction to the subject which addresses questions of truth and meaning, providing a basis for much of what is discussed elsewhere in philosophy. Up-to-date and comprehensive.Author BiographySybil Wolfram is University Lecturer in Philosophy at the University of Oxford Number of Pages: 308 Dimensions: 0.94 x 8.7 x 5.62 IN Publication Date: January 10, 2005
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by Ernest Nagel (Author), James R. Newman (Author)'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' - The GuardianIn 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical sys...
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by Antony Eagle (Editor)Philosophy of Probability: Contemporary Readings is the first anthology to collect essential readings in this important area of philosophy. Featuring the work of leading philosophers in the field such as Carnap, Hájek, Jeffrey, Joyce, Lewis, Loewer, Popper, Ramsey, van Fraassen, von Mises, and many others, the book looks in depth at the following key topics: subjective probability and credence probability updating: conditionalization and reflection Bayesian ...
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by Benjamin L. Schwartz (Author)A collection of solitaires and games which include sections on Solitiare Games like Knights Interchanges and The Stacked Playing Cards; Competitive games including SIM as a game of Chance and A winning Opening in Reverse Hex and also Solitaire games with toys like the Tower of Hanoi and Triangular Puzzle Peg. Number of Pages: 160 Dimensions: 0.44 x 9 x 6 IN Publication Date: April 16, 2019
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by James Robert Brown (Author)In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value? This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and th...
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by Janine T. Remillard (Editor), Beth A. Herbel-Eisenmann (Editor), Gwendolyn M. Lloyd (Editor)This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on - but not restricted to - those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development acti...
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by H. Fujita (Author), N. Saito (Author), T. Suzuki (Author)In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation m...
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by Nikolaos Galatos (Author), Peter Jipsen (Author), Tomasz Kowalski (Author)The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide a reasonably gentle introduction to algebraic logic. At the beginning, the second objective is predominant. Thus, in the first few chapters the reader will find a pr...
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by Elliott M. Pearl (Editor)This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. Number of Pages: 776 Dimensions: 1.54 x 9.17 x 6.59 IN Illustrated: Yes Publication Date: April 20, 2007
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by A. S. Troelstra (Author), D. Van Dalen (Author), J. Barwise (Editor) Number of Pages: 376 Dimensions: 0.78 x 9.21 x 6.14 IN Publication Date: January 01, 2001
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by S. Watanabe (Author), N. Ikeda (Author) Number of Pages: 572 Dimensions: 1.25 x 9 x 6 IN Publication Date: February 12, 1981
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by John Allen Paulos (Author)What two things could be more different than numbers and stories? Numbers are abstract, certain, and eternal, but to most of us somewhat dry and bloodless. Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and n...
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by Keith Devlin (Author)In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive 1 million in prize money. There was some precedent for doing this: in 1900 David Hilbert, one of the greatest mathematicians of his day, proposed twenty-three problems, now known as the Hilbert Problems, that set much of th...
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by Ian Stewart (Author)Opening another drawer in his Cabinet of Curiosities, renowned mathematics professor Ian Stewart presents a new medley of games, paradoxes, and riddles in Professor Stewart's Hoard of Mathematical Treasures. With wit and aplomb, Stewart mingles casual puzzles with grander forays into ancient and modern mathematical thought. Amongst a host of arcane and astonishing facts about every kind of number from irrational and imaginary to complex and cuneiform, we learn: How t...