Ramanujan’s Notebooks: Part II
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the second of four volumes devoted to the editing of Ramanujan's Notebooks. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan's quarterly reports. In this volume, we examine Chapters 10-15 in Ramanujan's second notebook. If a result is known, we provide references in the literature where proofs may be found; if a result is not known, we attempt to prove it. Not only are the results fascinating, but, for the most part, Ramanujan's methods remain a mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan's thoughts and further develop his beautiful ideas |
| Beschreibung: | 1 Online-Ressource (XII, 360 p) |
| ISBN: | 9781461245308 9781461288657 |
| DOI: | 10.1007/978-1-4612-4530-8 |
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| 500 | |a During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the second of four volumes devoted to the editing of Ramanujan's Notebooks. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan's quarterly reports. In this volume, we examine Chapters 10-15 in Ramanujan's second notebook. If a result is known, we provide references in the literature where proofs may be found; if a result is not known, we attempt to prove it. Not only are the results fascinating, but, for the most part, Ramanujan's methods remain a mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan's thoughts and further develop his beautiful ideas | ||
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| indexdate | 2024-07-10T01:21:06Z |
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| isbn | 9781461245308 9781461288657 |
| language | English |
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| spelling | Berndt, Bruce C. Verfasser aut Ramanujan’s Notebooks Part II by Bruce C. Berndt New York, NY Springer New York 1989 1 Online-Ressource (XII, 360 p) txt rdacontent c rdamedia cr rdacarrier During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the second of four volumes devoted to the editing of Ramanujan's Notebooks. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan's quarterly reports. In this volume, we examine Chapters 10-15 in Ramanujan's second notebook. If a result is known, we provide references in the literature where proofs may be found; if a result is not known, we attempt to prove it. Not only are the results fascinating, but, for the most part, Ramanujan's methods remain a mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan's thoughts and further develop his beautiful ideas Mathematics Number theory Number Theory Mathematik https://doi.org/10.1007/978-1-4612-4530-8 Verlag Volltext |
| spellingShingle | Berndt, Bruce C. Ramanujan’s Notebooks Part II Mathematics Number theory Number Theory Mathematik |
| title | Ramanujan’s Notebooks Part II |
| title_auth | Ramanujan’s Notebooks Part II |
| title_exact_search | Ramanujan’s Notebooks Part II |
| title_full | Ramanujan’s Notebooks Part II by Bruce C. Berndt |
| title_fullStr | Ramanujan’s Notebooks Part II by Bruce C. Berndt |
| title_full_unstemmed | Ramanujan’s Notebooks Part II by Bruce C. Berndt |
| title_short | Ramanujan’s Notebooks |
| title_sort | ramanujan s notebooks part ii |
| title_sub | Part II |
| topic | Mathematics Number theory Number Theory Mathematik |
| topic_facet | Mathematics Number theory Number Theory Mathematik |
| url | https://doi.org/10.1007/978-1-4612-4530-8 |
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