Twelve landmarks of twentieth-century analysis:
The striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach combines rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into these landmarks in mathematics. Results ran...
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| Weitere Verfasser: | , , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach combines rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into these landmarks in mathematics. Results ranging from the proof of Littlewood's conjecture to the Banach–Tarski paradox have been selected for their mathematical beauty as well as educative value and historical role. Placing each theorem in historical perspective, the authors paint a coherent picture of modern analysis and its development, whilst maintaining mathematical rigour with the provision of complete proofs, alternative proofs, worked examples, and more than 150 exercises and solution hints. This edition extends the original French edition of 2009 with a new chapter on partitions, including the Hardy–Ramanujan theorem, and a significant expansion of the existing chapter on the Corona problem |
| Beschreibung: | Originally published in French as: Analyse mathématique. Grands théorèmes du vingtième siècle (Montrouge (Hauts-de-Seine) : Calvage et Mounet, 2009). - Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xv, 508 pages) |
| ISBN: | 9781107445017 |
| DOI: | 10.1017/CBO9781107445017 |
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| 520 | |a The striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach combines rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into these landmarks in mathematics. Results ranging from the proof of Littlewood's conjecture to the Banach–Tarski paradox have been selected for their mathematical beauty as well as educative value and historical role. Placing each theorem in historical perspective, the authors paint a coherent picture of modern analysis and its development, whilst maintaining mathematical rigour with the provision of complete proofs, alternative proofs, worked examples, and more than 150 exercises and solution hints. This edition extends the original French edition of 2009 with a new chapter on partitions, including the Hardy–Ramanujan theorem, and a significant expansion of the existing chapter on the Corona problem | ||
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| author | Choimet, Denis |
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| dewey-full | 515 |
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| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107445017 |
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| isbn | 9781107445017 |
| language | English |
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| spelling | Choimet, Denis Verfasser aut Analyse mathématique Twelve landmarks of twentieth-century analysis D. Choimet, H. Queff́́élec ; illustrated by Michaël Monerau ; translated from the French by Danièle Gibbons and Greg Gibbons Cambridge Cambridge University Press 2015 1 online resource (xv, 508 pages) txt rdacontent c rdamedia cr rdacarrier Originally published in French as: Analyse mathématique. Grands théorèmes du vingtième siècle (Montrouge (Hauts-de-Seine) : Calvage et Mounet, 2009). - Title from publisher's bibliographic system (viewed on 05 Oct 2015) The striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach combines rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into these landmarks in mathematics. Results ranging from the proof of Littlewood's conjecture to the Banach–Tarski paradox have been selected for their mathematical beauty as well as educative value and historical role. Placing each theorem in historical perspective, the authors paint a coherent picture of modern analysis and its development, whilst maintaining mathematical rigour with the provision of complete proofs, alternative proofs, worked examples, and more than 150 exercises and solution hints. This edition extends the original French edition of 2009 with a new chapter on partitions, including the Hardy–Ramanujan theorem, and a significant expansion of the existing chapter on the Corona problem Mathematical analysis Banach algebras Harmonic analysis Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 Queffélec, Hervé Sonstige oth Monerau, Michaël ill Gibbons, Danièle trl Gibbons, Greg trl Erscheint auch als Druckausgabe 978-1-107-05945-0 Erscheint auch als Druckausgabe 978-1-107-65034-3 https://doi.org/10.1017/CBO9781107445017 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Choimet, Denis Twelve landmarks of twentieth-century analysis Mathematical analysis Banach algebras Harmonic analysis Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Twelve landmarks of twentieth-century analysis |
| title_alt | Analyse mathématique |
| title_auth | Twelve landmarks of twentieth-century analysis |
| title_exact_search | Twelve landmarks of twentieth-century analysis |
| title_full | Twelve landmarks of twentieth-century analysis D. Choimet, H. Queff́́élec ; illustrated by Michaël Monerau ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_fullStr | Twelve landmarks of twentieth-century analysis D. Choimet, H. Queff́́élec ; illustrated by Michaël Monerau ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_full_unstemmed | Twelve landmarks of twentieth-century analysis D. Choimet, H. Queff́́élec ; illustrated by Michaël Monerau ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_short | Twelve landmarks of twentieth-century analysis |
| title_sort | twelve landmarks of twentieth century analysis |
| topic | Mathematical analysis Banach algebras Harmonic analysis Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematical analysis Banach algebras Harmonic analysis Analysis |
| url | https://doi.org/10.1017/CBO9781107445017 |
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