The Banach-Tarski Paradox / Grzegorz Tomkowicz
Material type: TextPublisher number: :Technical Bureau India Pvt. Ltd. | :E/261, Shastri Nagar DelhiSeries: Encyclopedia of mathematics and its applications, v. 163Publication details: New York :Cambridge University Press, 2016Description: xviii, 348p. 24cmISBN: 9781107617315Subject(s): Mathematics | General principles of mathematics | Banach-Tarski paradox | Measure theory | Théorie de la mesure | Banach-Tarski, Paradoxe de | Decomposition (Mathematics)DDC classification: 511.322 TOMItem type | Current library | Call number | Status | Date due | Barcode | Item holds |
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Books | SNU LIBRARY | 511.322 TOM (Browse shelf(Opens below)) | Not For Loan | 28587 |
The Hausdorff paradox --
The Banach-Tarski paradox : duplicating spheres and balls --
Hyperbolic paradoxes --
Locally commutative actions : minimizing the number of pieces in a paradoxical decomposition --
Higher dimensions --
Free groups of large rank : getting a continuum of spheres from one --
Paradoxes in low dimensions --
Squaring the circle --
The semigroup of equidecomposability types --
Transition --
Measures in groups --
Applications of amenability --
Growth conditions in groups and supramenability --
The role of the axiom of choice.
The Banach-Tarski Paradox is the most surprising result in mathematics. This new edition of a classic book offers a comprehensive, accessible presentation, with many related results, especially connections to non-Euclidean geometry, to squaring the circle, and even to some art by Escher. This material is suited to projects for undergraduates or masters students
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