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The Banach-Tarski Paradox
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The Banach-Tarski Paradox Hardcover - 2016

by Grzegorz Tomkowicz; Stan Wagon


From the publisher

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.

Details

  • Title The Banach-Tarski Paradox
  • Author Grzegorz Tomkowicz; Stan Wagon
  • Binding Hardcover
  • Edition 2nd Revised edit
  • Pages 360
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 2016-06-14
  • Features Bibliography, Index
  • ISBN 9781107042599 / 1107042593
  • Weight 1.43 lbs (0.65 kg)
  • Dimensions 9.64 x 6.22 x 0.94 in (24.49 x 15.80 x 2.39 cm)
  • Library of Congress subjects Measure theory, Decomposition (Mathematics)
  • Library of Congress Catalog Number 2015046410
  • Dewey Decimal Code 511.322
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The Banach-tarski Paradox
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The Banach-tarski Paradox

by Tomkowicz, Grzegorz/ Wagon, Stan

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ISBN 10 / ISBN 13
9781107042599 / 1107042593
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Cambridge Univ Pr, 2016. Hardcover. New. 2nd edition. 384 pages. 9.50x6.50x1.00 inches.
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The Banach-Tarski Paradox

The Banach-Tarski Paradox

by Grzegorz Tomkowicz

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Hardback. New. The Banach-Tarski Paradox is the most surprising result in mathematics. This new edition of a classic book offers a comprehensive, accessible presentation, with many related results, especially connections to non-Euclidean geometry, to squaring the circle, and even to some art by Escher. This material is suited to projects for undergraduates or masters students.
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The Banach–Tarski Paradox (Encyclopedia of Mathematics and its Applications,...
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The Banach–Tarski Paradox (Encyclopedia of Mathematics and its Applications, Series Number 163)

by Tomkowicz, Grzegorz

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9781107042599 / 1107042593
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Cambridge University Press. hardcover. New. 6x0x9. Brand New Book in Publishers original Sealing
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