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Více o knize
Exploring the Banach-Tarski Paradox, this volume delves into its implications for measure theory and its interconnections with group theory, geometry, set theory, and logic. The updated edition features new proofs and results, including intriguing paradoxes in the hyperbolic plane related to Escher's artwork. A significant addition is a complete proof demonstrating that the circle can be squared using set theory, a long-standing challenge in mathematics. This comprehensive work unifies contemporary research while addressing numerous unsolved problems.
Nákup knihy
The Banach-Tarski Paradox, Grzegorz Tomkowicz, Stan Wagon
- Jazyk
- Rok vydání
- 2019
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Doručení
Platební metody
Navrhnout úpravu
- Titul
- The Banach-Tarski Paradox
- Jazyk
- anglicky
- Autoři
- Grzegorz Tomkowicz, Stan Wagon
- Vydavatel
- Cambridge University Press
- Rok vydání
- 2019
- Vazba
- pevná
- Počet stran
- 370
- ISBN13
- 9781107042599
- Kategorie
- Matematika
- Anotace
- Exploring the Banach-Tarski Paradox, this volume delves into its implications for measure theory and its interconnections with group theory, geometry, set theory, and logic. The updated edition features new proofs and results, including intriguing paradoxes in the hyperbolic plane related to Escher's artwork. A significant addition is a complete proof demonstrating that the circle can be squared using set theory, a long-standing challenge in mathematics. This comprehensive work unifies contemporary research while addressing numerous unsolved problems.