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Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study

Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study
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Field name Details
Dewey Class 510.9
Title Ramanujan's Place in the World of Mathematics ([Ebook]) : Essays Providing a Comparative Study / by Krishnaswami Alladi.
Author Alladi, Krishnaswami
Other name(s) SpringerLink (Online service)
Publication India : : Springer India,
, 2013.
Physical Details XVIII, 177 p. 22 illus. : online resource.
ISBN 9788132207672
Summary Note This book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians in history whose lives and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujanâs spectacular discoveries and remarkable life with the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. Also, among the articles are reviews of three important books on Ramanujanâs mathematics and life. In addition, some aspects of Ramanujanâs contributions, such as his remarkable formulae for the number Ï, his pathbreaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future. Thus the book is an enlightening study of Ramanujan as a mathematician and a human being. From the Foreword by George Andrewsâone of the greatest experts on Ramanujan's work: âAlladi, who has worked in several areas of number theory and analysis, and who, as editor of the Ramanujan Journal, is uniquely qualified to write these historical sketches which provide an unusual and compelling view of Ramanujan.â ABOUT THE AUTHOR Krishnaswami Alladi is professor of mathematics at the University of Florida, where he was the department chairman during 1998â2008. He received his PhD from the University of California, Los Angeles, in 1978. His research area is number theory, where he has made notable contributions. In 1987, during the Ramanujan Centennial in India, he got the inspiration to launch The Ramanujan Journal (now published by Springer), devoted to all areas of mathematics influenced by Ramanujan. He annually writes articles about Ramanujan and his place in the world of mathematics, for journals and newspapers. He is presently editor-in-chief of The Ramanujan Journal, editor of the book series Developments in Mathematics (Springer), and associate editor of Notices of the American Mathematical Society.:
Contents note Foreword (by George Andrews) -- Preface -- Part I: Ramanujan and other mathematical luminaries -- Chapter 1: Ramanujan - an estimation -- Chapter 2: Ramanujan - the second century -- Chapter 3: L. J. Rogers - a contemporary of Ramanujan -- Chapter 4: P. A. MacMahon - Ramanujan's distinguished contemporary -- Chapter 5: Fermat and Ramanujan - a comparison -- Chapter 6: J. J. Sylvester - Ramanujan's illustrious predecessor -- Chapter 7: Erdos and Ramanujan - legends of twentieth century mathematics -- Chapter 8: C. G. J. Jacobi - algorist par-excellence -- Chapter 9: Evariste Galois - founder of group theory -- Chapter 10: Leonhard Euler - most prolific mathematician in history -- Chapter 11: G. H. Hardy - Ramanujan's mentor -- Chapter 12: J. E. Littlewood - Ramanujan's contemporary and Hardy's collaborator -- Chapter 13: Neils Henrik Abel - Norwegian mathematical genius -- Chapter 14: Issai Schur - Ramanujan's German contemporary -- Chapter 15: Robert Rankin - Scottish link with Ramanujan -- Part II: On some aspects of Ramanujan's mathematics -- Chapter 16: Ramanujan and pi -- Chapter 17: Ramanujan and partitions -- Chapter 18: Major progress on a problem of Ramanujan -- Part III: Reviews -- Chapter 19: Review of âSrinivasa Ramanujan: The Lost Notebook and other unpublished papersâ -- Chapter 20: Review of âThe man who knew infinity - book by Robert Kanigelâ -- Chapter 21: Review of Ramanujan: Letters and Commentary - book by Bruce Berndt and Robert Rankinâ -- Chapter 22: Review of âRamanujan: Essays and Surveys - book by Bruce Berndt and Robert Rankinâ -- Chapter 23: Review of âPartitions - a play on Ramanujanâ -- Part IV: Preserving Ramanujan's legacy -- Chapter 24: The Ramanujan Journal - its conception, need and place -- Chapter 25: A pilgrimage to Ramanujan's hometown -- Chapter 26: The first SASTRA Ramanujan prizes -- Chapter 27: Ramanujan's growing influence -- Index.
System details note Online access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-81-322-0767-2
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