图书简介
This authoritative volume covers aspects of the life and enduring mathematical research of Srinivasa Ramanujan. Born in the late 19th century, Ramanujan had little formal training in pure mathematics. This iconic figure made extraordinary contributions to many facets of mathematical analysis and number theory. During his short life, Ramanujan published 37 papers and curated in notebooks more than 3900 identities which he recorded without proof. Nearly all of his claims that were new have now been proven correct. He stated numerous results that were both original and highly unconventional. Many of these identities have led to major achievements in a wide range of areas of mathematics and theoretical physics. The eight editors of this Handbook have assembled articles on many aspects of Ramanujan’s life and mathematical legacy with a focus on the evolution of his discoveries into many important sub-disciplines of current mathematical research. Included are 234 articles supplied by 88 authors. The book will be of interest to students, teachers, researchers and anyone who is intrigued by the legacy of one of the most striking figures in the history of mathematics.
Preface.- Part. I. Life and History - Life and Family.- Srinivasa Ramanujan.- The name, Srinivasa Ramanujan.- S. Janaki Ammal (Mrs. Ramanujan).- The Ramanujan family record.- Ramanujan’s father, Kuppuswamy Srinivasa Aiyangar.- Ramanujan’s brothers, Lakshmi Narasimhan and Tirunarayanan.- Ramanujan’s illness.- On the discovery of the photograph of S. Ramanujan, FRS.- Komalattammal.- Namagiri, The Goddess of Namakkal.- Ramanujan bust.- Paul T. Granlund.- Part II: Life and History - Places.- Erode, the birthplace of Ramanujan.- Kumbakonam, Ramanujan’s hometown.- Ramanujan’s home in Kumbakonam.- Government Arts College, Kumbakonam.- Kumbakonam higher secondary school.- Madras Port Trust.- The Madras Port Trust and Sir Francis Spring.- University of Madras.- Pachaiyappa’s College.- The Sarangapani Temple.- The Ramanujan Math Park.- Part III Life and History - Ramanujan’s Books .- Carr’s Synopsis.- Matriculation exams taken by Ramanujan.- The books studied by Ramanujan in India.- Part IV Life and History - Correspondences.- Introduction to the Correspondence between Ramanujan and Hardy.- S. Ramanujan to G. H. Hardy 16 January 1913.- G. H. Hardy to S. Ramanujan 8 February 1913.- S. Ramanujan to G. H. Hardy 27 February 1913.- G. H. Hardy to S. Ramanujan 26 March 1913.- Letters to G. H. Hardy from nursing homes.- Ramanujan’s quarterly reports.- Ramanujan’s last letter to Hardy.- Ramanujan’s slate.- Part V Life and History - Institutions.- The Ramanujan Mathematical Society.- The Royal Society and its Fellowship.- Trinity College and its Fellowship.- SASTRA Deemed University.- Part VI Biographies.- S. Narayana Aiyar.- Richard A. Askey.- A. O. L. Atkin.- W. N. Bailey.- H. F. Baker.- Arthur Berry.- Subrahmanyam Chandrasekhar.- Ramanujan’s Physician, P. S. Chandrasekhara Iyer.- Sir Francis Dewsbury.- Freeman Dyson.- Leonhard Euler.- A. G. Greenhill.- G. H. Hardy.- M. J. M. HILL.- E. W. Hobson.- V. Ramaswami Iyer.- P. V. Seshu Iyer.- C. G. J. Jacobi.- Richard Littlehailes.- J. E. Littlewood.- P. A. MacMahon.- P. C. Mahalanobis.- Louis J. Mordell.- E. H. Neville.- Hans Rademacher.- R. Ramachandra Rao.- A. S. Ramalingam.- S. R. Ranganathan.- Robert A. Rankin.- L. J. Rogers.- Issai Schur.- Lucy Joan Slater.- Sir Francis Spring.- P. K. Srinivasan.- Swinnerton-Dyer and the Ramanujan congruences for _ (n).- V. R. Thiruvenkatachar.- K. Venkatachaliengar.- Sir Gilbert Walker.- G. N. Watson.- B. M. Wilson.- Part VII. Legacy – Notebooks.- Ramanujan’s Notebooks.- Ramanujan’s Notebooks Part I.- Ramanujan’s Notebooks Part II.- Ramanujan’s Notebooks Part III.- Ramanujan’s Notebooks Part IV.- Ramanujan’s Notebooks Part V.- The discovery of Ramanujan’s Lost Notebook.- Ramanujan’s Lost Notebook Part I.- Ramanujan’s Lost Notebook Part II.- Ramanujan’s Lost Notebook Part III.- Ramanujan’s Lost Notebook Part IV.- Ramanujan’s Lost Notebook Part V.- Your hit parade: The top ten most fascinating formulas in Ramaujan’s Lost Notebook.- Part VIII. Legacy – Books and Journal Articles.- A Mathematician’s Apology.- Honoring a gift from Kumbakonam.- Mathematics Wizard Srinivasa Ramanujan.- Number Theory in the Spirit of Ramanujan.- Ramanujan Memorial Number Vol. 1, Letters and Reminiscences: Vol. 2, An Inspiration, P. K. Srinivasan, ed.- Ramanujan - The Man and the Mathematician.- Ramanujan: Man of Mathematics (comic book).-
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