National Science Library of Georgia

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The Banach-Tarski paradox / Stan Wagon.

By: Material type: TextTextSeries: Encyclopedia of mathematics and its applications ; v. 24.Publisher: Cambridge : Cambridge University Press, 1985Description: 1 online resource (xvi, 251 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511609596 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 511.3/22 19
LOC classification:
  • QA248 .W22 1985
Online resources: Summary: The Banach-Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The Banach-Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems.

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