The Banach-Tarski Paradox Hardback
by Grzegorz Tomkowicz, Stan (Macalester College, Minnesota) Wagon
Part of the Encyclopedia of Mathematics and its Applications series
Hardback
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.
Information
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Out of stock
- Format:Hardback
- Pages:360 pages, 6 Line drawings, color; 47 Line drawings, black and white
- Publisher:Cambridge University Press
- Publication Date:14/06/2016
- Category:
- ISBN:9781107042599
Other Formats
- Paperback / softback from £36.99
Information
-
Out of stock
- Format:Hardback
- Pages:360 pages, 6 Line drawings, color; 47 Line drawings, black and white
- Publisher:Cambridge University Press
- Publication Date:14/06/2016
- Category:
- ISBN:9781107042599
