The Banach-Tarski paradox /:
The 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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1985.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
v. 24. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The 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. |
| Beschreibung: | 1 online resource (xvi, 251 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 234-245) and index. |
| ISBN: | 9780511609596 0511609590 9781107087569 1107087562 |
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| 520 | |a The 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. | ||
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| indexdate | 2024-11-27T13:25:03Z |
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| spelling | Wagon, S. The Banach-Tarski paradox / Stan Wagon. Cambridge ; New York : Cambridge University Press, 1985. 1 online resource (xvi, 251 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; v. 24 Includes bibliographical references (pages 234-245) and index. Print version record. The 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. pt. I. Paradoxical decompositions, or, The nonexistence of finitely additive measures -- pt. II. Finitely additive measures, or, The nonexistence of paradoxical decompositions. Banach-Tarski paradox. http://id.loc.gov/authorities/subjects/sh85011446 Measure theory. http://id.loc.gov/authorities/subjects/sh85082702 Decomposition (Mathematics) http://id.loc.gov/authorities/subjects/sh85036222 Théorie de la mesure. Décomposition (Mathématiques) Paradoxe de Banach-Tarski. MATHEMATICS Set Theory. bisacsh Banach-Tarski paradox fast Decomposition (Mathematics) fast Measure theory fast Banach-Tarskisches Paradoxon gnd http://d-nb.info/gnd/4143975-2 Mesure, théorie de la. ram has work: The Banach-Tarski paradox (Text) https://id.oclc.org/worldcat/entity/E39PCGVxKRMpHTJD7TtFfKjqDC https://id.oclc.org/worldcat/ontology/hasWork Print version: Wagon, S. Banach-Tarski paradox. Cambridge ; New York : Cambridge University Press, 1985 0521302447 (DLC) 84016986 (OCoLC)11030786 Encyclopedia of mathematics and its applications ; v. 24. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570404 Volltext |
| spellingShingle | Wagon, S. The Banach-Tarski paradox / Encyclopedia of mathematics and its applications ; pt. I. Paradoxical decompositions, or, The nonexistence of finitely additive measures -- pt. II. Finitely additive measures, or, The nonexistence of paradoxical decompositions. Banach-Tarski paradox. http://id.loc.gov/authorities/subjects/sh85011446 Measure theory. http://id.loc.gov/authorities/subjects/sh85082702 Decomposition (Mathematics) http://id.loc.gov/authorities/subjects/sh85036222 Théorie de la mesure. Décomposition (Mathématiques) Paradoxe de Banach-Tarski. MATHEMATICS Set Theory. bisacsh Banach-Tarski paradox fast Decomposition (Mathematics) fast Measure theory fast Banach-Tarskisches Paradoxon gnd http://d-nb.info/gnd/4143975-2 Mesure, théorie de la. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85011446 http://id.loc.gov/authorities/subjects/sh85082702 http://id.loc.gov/authorities/subjects/sh85036222 http://d-nb.info/gnd/4143975-2 |
| title | The Banach-Tarski paradox / |
| title_auth | The Banach-Tarski paradox / |
| title_exact_search | The Banach-Tarski paradox / |
| title_full | The Banach-Tarski paradox / Stan Wagon. |
| title_fullStr | The Banach-Tarski paradox / Stan Wagon. |
| title_full_unstemmed | The Banach-Tarski paradox / Stan Wagon. |
| title_short | The Banach-Tarski paradox / |
| title_sort | banach tarski paradox |
| topic | Banach-Tarski paradox. http://id.loc.gov/authorities/subjects/sh85011446 Measure theory. http://id.loc.gov/authorities/subjects/sh85082702 Decomposition (Mathematics) http://id.loc.gov/authorities/subjects/sh85036222 Théorie de la mesure. Décomposition (Mathématiques) Paradoxe de Banach-Tarski. MATHEMATICS Set Theory. bisacsh Banach-Tarski paradox fast Decomposition (Mathematics) fast Measure theory fast Banach-Tarskisches Paradoxon gnd http://d-nb.info/gnd/4143975-2 Mesure, théorie de la. ram |
| topic_facet | Banach-Tarski paradox. Measure theory. Decomposition (Mathematics) Théorie de la mesure. Décomposition (Mathématiques) Paradoxe de Banach-Tarski. MATHEMATICS Set Theory. Banach-Tarski paradox Measure theory Banach-Tarskisches Paradoxon Mesure, théorie de la. |
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