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Encyclopedia of Mathematics and Its Applications Ser.: Banach-Tarski Paradox by Stan Wagon (1993, Trade Paperback)
Better World Books West (349723)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521457041
ISBN-139780521457040
eBay Product ID (ePID)812409
Product Key Features
Number of Pages272 Pages
LanguageEnglish
Publication NameBanach-Tarski Paradox
SubjectTopology, Mathematical Analysis
Publication Year1993
TypeTextbook
AuthorStan Wagon
Subject AreaMathematics
SeriesEncyclopedia of Mathematics and Its Applications Ser.
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight15.9 Oz
Item Length9.1 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN93-246292
Dewey Edition20
Reviews‘ … 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, ' ... this beautiful book is written with care and is certainly worth reading.'Wlodzimierz Bzyl, Mathematical Reviews, ' … this beautiful book is written with care and is certainly worth reading.' Wlodzimierz Bzyl, Mathematical Reviews, ' ... packed with fascinating and beautiful results.'R. J. Gardner, Bulletin of the London Mathematical Society, "...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, ' … packed with fascinating and beautiful results.' R. J. Gardner, Bulletin of the London Mathematical Society
TitleLeadingThe
Series Volume NumberSeries Number 24
IllustratedYes
Dewey Decimal511.3/22
Table Of ContentPart I. Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures: 1. Introduction; 2. The Hausdorff Paradox; 3. The Banach-Tarski Paradox: duplication spheres and balls; 4. Locally commutative actions: minimizing the number of pieces in a paradoxical decomposition; 5. Higher dimensions and non-Euclidean spaces; 6. Free groups of large rank: getting a continuum of spheres from one; 7. Paradoxes in low dimensions; 8. The semi-group of equideomposability types; Part II. Finitely Additive Measures, or the Nonexistence of Paradoxical Decompositions: 9. Transition; 10. Measures in groups; 11. Applications of amenability: Marczewski measures and exotic measures; 12. Growth conditions in groups and supramenability; 13. The role of the axiom of choice.
SynopsisThe 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., 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., 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.
LC Classification NumberQA248 .W22 1993
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