Mathematics and Logic

Author: Mark Kac,Stanislaw M. Ulam

Publisher: Courier Corporation

ISBN: 0486670856

Category: Philosophy

Page: 170

View: 2327

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Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."
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Zermelo's Axiom of Choice

Its Origins, Development, and Influence

Author: Gregory H. Moore

Publisher: Courier Corporation

ISBN: 0486488411

Category: Mathematics

Page: 410

View: 4407

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"This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"--
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Classic Problems of Probability

Author: Prakash Gorroochurn

Publisher: John Wiley & Sons

ISBN: 1118314336

Category: Mathematics

Page: 328

View: 4049

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Winner of the 2012 PROSE Award for Mathematics from The AmericanPublishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personallibrary." —Paul J. Nahin, Professor Emeritus of ElectricalEngineering, University of New Hampshire Classic Problems of Probability presents a lively accountof the most intriguing aspects of statistics. The book features alarge collection of more than thirty classic probability problemswhich have been carefully selected for their interesting history,the way they have shaped the field, and their counterintuitivenature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713Golden Theorem to Parrondo's 1996 Perplexing Paradox, the bookclearly outlines the puzzles and problems of probability,interweaving the discussion with rich historical detail and thestory of how the mathematicians involved arrived at theirsolutions. Each problem is given an in-depth treatment, includingdetailed and rigorous mathematical proofs as needed. Some of thefascinating topics discussed by the author include: Buffon's Needle problem and its ingenious treatment by JosephBarbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager,Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies ofprobability Coverage of both elementary and more complex problems,including the Chevalier de Méré problems, Fisher and thelady testing tea, the birthday problem and its various extensions,and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening,one-of-a-kind reference for researchers and professionalsinterested in the history of probability and the variedproblem-solving strategies employed throughout the ages. The bookalso serves as an insightful supplement for courses on mathematicalprobability and introductory probability and statistics at theundergraduate level.
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Calculus: A Liberal Art

Author: W.M. Priestley

Publisher: Springer Science & Business Media

ISBN: 1461216583

Category: Mathematics

Page: 404

View: 8115

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Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of thought.
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