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Presents mathematical ideas through poetic dialogues intended to be read by two people.

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This entertaining book of mathematical days exercises the brain with confounding puzzles, intriguing math problems, and, of course, detailed solutions to all the conundrums. Readers will enjoy 366 days' worth of stimulating math.

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This journey across the spectrum of human activities takes a creative look at the role mathematics has played since prehistoric times. From its many uses in medicine and its appearance in artwork to its patterns in nature and its central role in the development of computers, mathematics is presented in a fun-to-read, nonthreatening manner.

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This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, Jose Ferreiros uses the crucial idea of a continuum to provide an account of the development of mathematical knowledg

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A collection of stories about famous mathematicians and their very human background in the history of mathematics, including the paranoia of Godel and how Newton's apple never was.

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Describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. This book provides the mathematical background and explains the theory.

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A collection of the author's general writings on philosophy, mathematics, and physics. It includes the author's exposition of his synthesis of electromagnetism and gravitation.

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Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimed

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(Hardback)

Emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the subjects in mathematics. This title includes helpful hints for when students are unsure of how to get started on a given problem.

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Since the birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers. This title traces the quest by these thinkers to create a more perfect democracy and adapt to the ever-changing demands that each generation places on our democratic institutions.

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Emphasizing the theory behind the computation, this book provides a self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software. It presents the mathematical foundations of numerical analysis. It introduces many advanced concepts in modern analysis.

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Focusing on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC). It illustrates through examples Basic gPC methods, and includes polynomial approximation theory and probability theory.

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Provides an exploration of standard numerical analysis topics, as well as non-traditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. This textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering.

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