The Banach-Tarski Paradox (Encyclopedia of Mathematics and its Applications, Series Number 24)

Wagon, Stan

ISBN 10: 0521457041 / ISBN 13: 9780521457040

Published by Cambridge University Press, 1993

Item in good condition and has highlighting/writing on text. Used texts may not contain supplemental items such as CDs, info-trac etc. Seller Inventory # 00095651521

Synopsis:

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.

Review: ' ... a readable and stimulating book.' Ward Henson, American Scientist

' ... packed with fascinating and beautiful results.' R. J. Gardner, Bulletin of the London Mathematical Society

' ... this beautiful book is written with care and is certainly worth reading.' Wlodzimierz Bzyl, Mathematical Reviews

'In 1985 Stan Wagon wrote The Banach-Tarski Paradox, which not only became the classic text on paradoxical mathematics, but also provided vast new areas for research. The new second edition, co-written with Grzegorz Tomkowicz, a Polish mathematician who specializes in paradoxical decompositions, exceeds any possible expectation I might have had for expanding a book I already deeply treasured. The meticulous research of the original volume is still there, but much new research has also been included.' John J. Watkins, MAA Reviews

Bibliographic Details

Title: The Banach-Tarski Paradox (Encyclopedia of ...
Publisher: Cambridge University Press
Publication Date: 1993
Binding: Soft cover
Condition: Good