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Record Nr. |
UNISA996466403103316 |
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Autore |
Srinivasa Rao K. <1942-> |
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Titolo |
Srinivasa Ramanujan : life and works of a natural mathematical genius, Swayambhu / / K. Srinivasa Rao |
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Pubbl/distr/stampa |
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Singapore : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (299 pages) |
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Disciplina |
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Soggetti |
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Mathematicians - India |
Mathematics - History |
Matemàtics |
Història de la matemàtica |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Foreword -- Preface -- Acknowledgements -- Contents -- About the Author -- 1 Life of Srinivasa Ramanujan -- 1.1 Early Years -- 1.2 Years of Adversity -- 1.3 A Turning Point -- 1.4 Ramanujan's First Letter to Hardy -- 1.5 The Years of Fruition -- 1.6 Ramanujan's Medicography -- 1.7 Excerpt from Records of the Royal Society and F.R.S. -- 1.8 The Beginning of the End -- 1.9 Janaki Ramanujan (Janakiammal) -- 1.10 Human Qualities -- 2 Ramanujan at Cambridge -- 2.1 Research Publications -- 2.2 On Selected Formulae of Ramanujan -- 2.3 Elementary Mathematics -- 2.4 Highly Composite Numbers -- 2.5 Partitions -- 2.6 Ramanujan's Congruences -- 2.7 Rogers-Ramanujan Identities -- 2.8 An `Astonishing' Theorem -- 2.9 Ramanujan on Elliptic and Modular Functions -- 2.10 Mock Theta Functions -- 2.11 Continued Fractions -- 3 Ramanujan's Mathematics: Further Glimpses -- 3.1 Ramanujan Summation and Ramanujan Sum -- 3.2 Arithmetic Functions -- 3.3 Ramanujan's τ-Function -- 3.4 Ramanujan's Notebooks -- 3.5 Resurgence of Interest -- 3.6 A Page from the Second Notebook of Ramanujan -- 3.7 Bruce Berndt's Work on the Notebooks -- 3.8 Ratan P. Agarwal's Work on the Notebooks -- 3.9 |
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Dyson on Ramanujan's Notebooks -- 3.10 CD ROMs on the Life and Work of Ramanujan -- 4 Hardy on Ramanujan -- 4.1 Ramanujan Discovers Hardy -- 4.2 Hardy: A Brief Biography -- 4.3 Hardy's Collaborations -- 4.4 The Hardy-Ramanujan Collaboration: Pros and Cons -- 4.5 Hardy's Lectures on Ramanujan's Work -- 4.6 Ramanujan's Work on Hypergeometric Series -- 5 Ramanujan and Hypergeometric Series -- 5.1 A Few Illustrative Examples -- 5.2 In the Notebooks of Ramanujan -- 5.3 An Entry in Ramanujan's Notebook -- 5.4 A New Summation Theorem and its Proof -- 6 Chandrasekhar (Chandra) and Ramanujan -- 6.1 S. Chandrasekhar: Nobel Laureate -- 6.2 Chandrasekhar on Ramanujan. |
6.3 The Passport Photograph of Ramanujan -- 6.4 A Remarkable Story -- 6.5 Sources for the Books on Ramanujan -- 6.6 The Centenary Year, 1987: Ramanujan Revisited -- 7 Books on Ramanujan and Busts of Ramanujan -- 7.1 S.R. Ranganathan's Biography (1967) -- 7.2 Robert Kanigel's The Man Who Knew Infinity -- 7.3 Review of Ramanujan: Letters and Commentary by Berndt and Rankin -- 7.4 Busts of Ramanujan -- 7.4.1 On the Temple Tower of BITS, Pilani -- 7.4.2 Bust Made by Paul Granlund -- 7.4.3 Bust Made by N. Masilamani -- 7.4.4 Bronze Statue in Ramanujan IT City by K. G. Ravi -- 7.5 The Notebooks of Ramanujan -- 7.6 The Wren Library -- 8 Ramanujan Birth Anniversaries and Documentarieson Ramanujan -- 8.1 The 75th Birth Anniversary of Ramanujan -- 8.2 Notebooks of Ramanujan and Their Accessibility -- 8.3 Awareness Today -- 8.4 Promising Prospects -- 8.5 Video Programmes -- 8.6 Ira Hauptman's Partition -- 8.7 Web Sites -- 8.8 The ISC, πie Pavilion and Ramanujan Exhibitions -- 9 Relevance of Ramanujan Today -- 9.1 Contents of the CD ROMs -- 9.2 Birth Centenary of Ramanujan (1987) -- 9.3 ICM 2010 -- 9.4 The Author's Contributions -- 9.5 A Plea for a National Science Museum -- A Research Publications of Ramanujan -- Papers Written by S. Ramanujan -- Papers Written by S. Ramanujan with G.H. Hardy -- B Wren Library Card Catalogue and Papers of Ramanujan -- C Personal File of S. Ramanujan at the National Archives and Papers at the Tamilnadu Archives -- Files in the Tamilnadu Archives -- References -- Notes -- Index. |
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