Ramanujan's Place in the World of Mathematics : Essays Providing a Comparative Study / by Krishnaswami Alladi.

Format:

Book

Author/Creator:

Alladi, Krishnaswami, author.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Mathematics.

History.

Number theory.

Science--History.

Science.

History of Mathematical Sciences.

Number Theory.

History of Science.

Local Subjects:

History of Mathematical Sciences.

Number Theory.

History of Science.

Physical Description:

1 online resource (265 pages)

Edition:

2nd ed. 2021.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2021.

Summary:

The First Edition of the 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 life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s 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 Ramanujan’s mathematics and life. In addition, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, his path-breaking 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. This Second Edition is an expanded version of the first with six more articles by the author. Of note is the inclusion of a detailed review of the movie The Man Who Knew Infinity, a description of the fundamental work of the SASTRA Ramanujan Prize Winners, and an account of the Royal Society Conference to honour Ramanujan’s legacy on the centenary of his election as FRS. KRISHNASWAMI ALLADI is professor of mathematics at the University of Florida where he was department chairman during 1998-2008. He received his PhD from the University of California, Los Angeles, in 1978. His area of research is number theory where he has made notable contributions. He is the Founder and Editor-in-Chief of The Ramanujan Journal (Springer), Founder and Editor of the book series Developments in Mathematics (Springer), and Chair of the SASTRA Ramanujan Prize Committee. He was an associate editor of Notices of the American Mathematical Society. From someReviews of Edition 1 The book is an enlightening study of Ramanujan as a mathematician and as a human being and will appeal to mathematicians, students and the general public interested in mathematics. Themistocles M. Rassias, European Math. Soc. Newsletter, March 2013 A great book to go swimming in; Alladi has put together a sweeping compendium of essays on Ramanujan ... a wonderful book to browse through, and before you know it, you'll have read it all. ... This book is clearly entirely irresistible. Get a copy for yourself .... You can’t miss. Michael Berg, Math. Assoc. of America Reviews, January 2013.

Contents:

-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-excelence

Chapter 9: Evariste Galois: Founder of Group Theory

Chapter 10: Leonhard Euler: Most Prolic 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: Niels Henrik Abel: Norwegian Mathematical Genius

Chapter 14: Issai Schur: Ramanujan's German Contemporary

Chapter 15: Robert Rankin: Scottish link with Ramanujan

Chapter 16: G. N. Watson: First to Investigate the Mock Theta Functions

Part II - Some Aspects of Ramanujan's Mathematics

Chapter 17: Ramanujan and

Chapter 18. Ramanujan and partitions

Chapter 19: Major progress on a problem of Ramanujan

Part III - Reviews of Books and Stage Productions

Chapter 20. Genius Whom the Gods Loved - A Review of "Srinivasa Ramanujan: The Lost Notebook and Other Unpublished Papers"

21. The Discovery and Rediscovery of Mahematical Genius - A Review of the book "The Man Who Knew Infinity: A Life of the Genius Ramanujan"

Chapter 22. A Review of "Ramanujan: Letters and Commentary"

Chapter 23. A Review of "Ramanujan: Essays and Surveys"

Chapter 24. Review of "Partition: A Play on Ramanujan"

Chapter 25. Review of the movie "The Man Who Knew Infinity"

Part IV - Preserving Ramanujan's Legacy

Chapter 26: The RamanujanJournal: Its Conception, Need and Place

Chapter 27. A Pilgrimage to Ramanujan's Hometown

Chapter 28. The First SASTRA Ramanujan Prizes

Chapter 29. Ramanujan's Growing Influence

Chapter 30. The SASTRA Ramanujan Prize - Its Origins and its Winners

Chapter 31. Srinivasa Ramanujan - Going Strong at 125

Chapter 32: Ramanujan in Mauritius

Chapter 33. Royal Society Conference and Publication for Centenary of Ramanujan's Election as FRS.

Notes:

Includes bibliographical references and index.

ISBN:

981-15-6241-5

OCLC:

1268465370