The mathematical legacy of Srinivasa Ramanujan / M. Ram Murty, V. Kumar Murty

Auteur: Murty, Maruti Ram (1953-) - AuteurCo-auteur: Murty, Vijaya Kumar (1956-) - AuteurAuteur secondaire : Ramanujan Aiyangar, Srinivasa (1887-1920) - Personne honoréeType de document: MonographieLangue: anglaisPays: IndeÉditeur: New Delhi : Springer, cop. 2013Description: 1 vol. (XI-184 p.) ; 24 cm ISBN: 9788132207696 ; rel. Résumé: Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G. H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics. (Source : Springer).Bibliographie: Bibliogr. p. 173-180. Index. Sujets MSC: 11-03 Number theory -- Historical
11Fxx Number theory -- Discontinuous groups and automorphic forms
11Jxx Number theory -- Diophantine approximation, transcendental number theory
11Kxx Number theory -- Probabilistic theory: distribution modulo 1; metric theory of algorithms
01A70 History and biography -- History of mathematics and mathematicians -- Biographies, obituaries, personalia, bibliographies
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Bibliogr. p. 173-180. Index

Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G. H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics. (Source : Springer)

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