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Ramanujan.

This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substant...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berndt, Bruce C.
Otros Autores: Rankin, Robert A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2001.
Colección:History of mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Title page; Copyright; Dedication; Contents; Preface; Photograph credits; Citations for previously published papers; The life of Ramanujan; Photos (Ramanujan); The four photographs of Ramanujan; The books studied by Ramanujan in India; The influence of Carr's synopsis on Ramanujan; The notebooks of Srinivasa Ramanujan; A recently discovered letter giving Ramanujan's examination scores; On Ramanujan; Indian Mathematical Society; The Ramanujan family record; Ramanujan's illness; Ramanujan as a patient; Photo; Ramanujan's illness.
  • An incident in the life of S. Ramanujan, F.R.S.: Conversations with G.H. Hardy, F.R.S. and J.E. Littlewood, F.R.S. and their sequelS. Janaki; Photo; S. Janaki Ammal (Mrs. Ramanujan); Conversation "I didn't understand his work, but I knew his worth"; Photo; S. Narayana Iyer; Photo; A short biography of S. Narayana Iyer; Photo; The distribution of primes; Some theorems in summation; E.H. Neville; Photo; Srinivasa Ramanujan [redacted]; University lectures in Madras; Ramanujan's manuscripts and notebooks; Ramanujan's manuscripts and notebooks; Ramanujan's manuscripts and notebooks, II.
  • An overview of Ramanujan's notebooks [redacted]An introduction to Ramanujan's "lost" notebook; Nontechnical articles on Ramanujan's work; Ramanujan and pi [redacted]; related developments since 1988; Reflections around the Ramanujan centenary; The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society; Somewhat more technical articles on Ramanujan's work; A walk through Ramanujan's garden; Ramanujan and hypergeometric and basic hypergeometric series; The final problem: An account of the mock theta functions; Back Cover.