The Banach-Tarski Paradox
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Banach-Tarski Paradox by Stan Wagon
Book DescriptionThe 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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Book DetailsISBN: 9780521457040
(234mm x 156mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Sep-1993
Country of Publication: United Kingdom
Books By Author Stan Wagon
Banach-Tarski Paradox, Hardback (June 2016)
The Banach-Tarski Paradox seems patently false. The authors explain it and its implications in terms appropriate for an undergraduate.
Course in Computational Number Theory, Hardback (November 2008)
A Course in Computational Number Theory uses the computer as a tool for motivation and explanation. The book is designed for the reader to quickly access a computer and begin doing personal experiments with the patterns of the integers. It presents and explains many of the fastest algorithms for working with integers.
SIAM 100-digit Challenge, Paperback (January 1987)» View all books by Stan Wagon
Gives concrete examples of how to justify the validity of every single digit of a numerical answer.
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