9781107617315-1107617316-The Banach-Tarski Paradox (Encyclopedia of Mathematics and its Applications)

The Banach-Tarski Paradox (Encyclopedia of Mathematics and its Applications)

ISBN-13: 9781107617315
ISBN-10: 1107617316
Edition: 2
Author: Tomkowicz, Grzegorz, Wagon, Stan
Publication date: 2019
Publisher: Cambridge University Press
Format: Paperback 366 pages
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Book details

ISBN-13: 9781107617315
ISBN-10: 1107617316
Edition: 2
Author: Tomkowicz, Grzegorz, Wagon, Stan
Publication date: 2019
Publisher: Cambridge University Press
Format: Paperback 366 pages

Summary

Acknowledged authors Tomkowicz, Grzegorz, Wagon, Stan wrote The Banach-Tarski Paradox (Encyclopedia of Mathematics and its Applications) comprising 366 pages back in 2019. Textbook and eTextbook are published under ISBN 1107617316 and 9781107617315. Since then The Banach-Tarski Paradox (Encyclopedia of Mathematics and its Applications) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

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.

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