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.
| ISBN: | 9780521302449 |
| Publication date: | 23rd May 1985 |
| Author: | S Wagon |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 251 pages |
| Series: | Encyclopedia of Mathematics and Its Applications |
| Genres: |
Calculus and mathematical analysis |
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.
The Banach-Tarski Paradox features in the following genres: Calculus and mathematical analysis
The Banach-Tarski Paradox is available in Hardback
The Banach-Tarski Paradox was written by S Wagon and published by Cambridge University Press
The Banach-Tarski Paradox has 251 pages
Yes it is part of Encyclopedia of Mathematics and Its Applications series