The Banach-Tarski paradox /
Wagon, S.,
The Banach-Tarski paradox / Stan Wagon. - Cambridge : Cambridge University Press, 1985. - 1 online resource (xvi, 251 pages) : digital, PDF file(s). - Encyclopedia of mathematics and its applications ; volume 24 . - Encyclopedia of mathematics and its applications ; v. 24. .
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.
9780511609596 (ebook)
Banach-Tarski paradox.
Measure theory.
Decomposition (Mathematics)
QA248 / .W22 1985
511.3/22
The Banach-Tarski paradox / Stan Wagon. - Cambridge : Cambridge University Press, 1985. - 1 online resource (xvi, 251 pages) : digital, PDF file(s). - Encyclopedia of mathematics and its applications ; volume 24 . - Encyclopedia of mathematics and its applications ; v. 24. .
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.
9780511609596 (ebook)
Banach-Tarski paradox.
Measure theory.
Decomposition (Mathematics)
QA248 / .W22 1985
511.3/22