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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.
- Sales Rank: #1319553 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1993-09-24
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .63" w x 6.14" l, .89 pounds
- Binding: Paperback
- 272 pages
- Used Book in Good Condition
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
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).
Most helpful customer reviews
3 of 3 people found the following review helpful.
Examplary piece of mathematical writing
By Alexander R. Pruss
This may be my favorite mathematics book. The mathematics is deep and interesting, explained well, with a good discussion of the history and references. It's not just about the Banach-Tarski paradox as such: there are many related paradoxical and unparadoxical results, results about amenable and supramenable groups, fascinating facts about measures, etc. Very rich book.
18 of 22 people found the following review helpful.
The Banach-Tarski Paradox
By A Customer
If you're really interested in the Banach-Tarski Paradox this book is what you have to read. The straightness of thoughts of Stan Wagon and his beautiful ideas not only about the paradox but also set theorie in general were so impressing, that thi s book became one of my favourites.
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