Non-Fiction Books:

The Banach-Tarski Paradox

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The Banach-Tarski Paradox by Grzegorz Tomkowicz
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Description

The Banach-Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years.

Author Biography

Grzegorz Tomkowicz is a self-educated Polish mathematician who has made several important contributions to the theory of paradoxical decompositions and invariant measures. Stan Wagon is a Professor of Mathematics at Macalester College, Minnesota. He is a winner of the Wolfram Research Innovator Award, as well as numerous writing awards including the Ford, Evans, and Allendoerfer Awards. His previous work includes A Course in Computational Number Theory (2000), The SIAM 100-Digit Challenge (2004), and Mathematica(R) in Action, 3rd edition (2010).
Release date Australia
June 14th, 2016
Country of Publication
United Kingdom
Edition
2nd Revised edition
Illustrations
47 b/w illus. 6 colour illus.
Imprint
Cambridge University Press
Pages
360
Dimensions
156x234x22
ISBN-13
9781107042599
Product ID
24356573

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