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

Wagon, Stan

Hardcover

ISBN 10: 0521302447 ISBN 13: 9780521302449

Publisher: Cambridge University Press, 1985

Synopsis

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.

About this title

Book Description:

Asserting that a solid ball may be taken apart into many pieces that can be rearranged to form a ball twice as large as the original, the Banach-Tarski paradox is examined in relationship to measure and group theory, geometry and logic.

About the Author:

Stan Wagon is a Professor of Mathematics at Macalester College, Minnesota. He is a winner of the Wolfram Research Innovator Award, as well as numerous writing awards including the Ford, Evans, and Allendoerfer Awards. His previous work includes A Course in Computational Number Theory (2000), The SIAM 100-Digit Challenge (2004), and Mathematica(r) in Action, 3rd edition (2010).

About this edition

• Publisher: Cambridge University Press
• Publication date: 1985
• ISBN 10: 0521302447
• ISBN 13: 9780521302449
• Binding: Hardcover
• Number of pages: 272