The Banach-Tarski Paradox - Rilegato

Wagon, Stan

Rilegato

ISBN 10: 0521302447 ISBN 13: 9780521302449

Casa editrice: Cambridge University Press, 1985

Riassunto

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.

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Recensione:

' ... 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

Descrizione del libro:

The Banach-Tarski paradox 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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1985
• ISBN 10: 0521302447
• ISBN 13: 9780521302449
• Rilegatura: Copertina rigida
• Numero di pagine: 272