Ramanujan's Place in the World of Mathematics

Essays Providing a Comparative Study

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August 4, 2020 | History

Ramanujan's Place in the World of Mathematics

Essays Providing a Comparative Study

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  • 1 Want to read
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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 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 π, 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 Andrewsone of the greatest experts on Ramanujan's work: “Alladi, 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.”

ABOUT THE AUTHOR

Krishnaswami Alladi is professor of mathematics at the University of Florida, where he was the department chairman during 1998–2008. 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.

Publish Date
Language
English
Pages
177

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Cover of: Ramanujan's Place in the World of Mathematics
Cover of: Ramanujan's Place in the World of Mathematics
Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study
Oct 19, 2020, Springer
hardcover
Cover of: Ramanujan's Place in the World of Mathematics
Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study
Nov 09, 2014, Springer
paperback
Cover of: Ramanujan's Place in the World of Mathematics
Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study
2013, Springer India, Imprint: Springer
electronic resource : in English
Cover of: Ramanujan's Place in the World of Mathematics
Ramanujan's Place in the World of Mathematics: Essays Providing a Comparative Study
2013, Springer (India) Private Limited
in English

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Book Details


Table of 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-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 “Srinivasa Ramanujan: The Lost Notebook and other unpublished papers”
Chapter 20: Review of “The man who knew infinity - book by Robert Kanigel”
Chapter 21: Review of “Ramanujan: Letters and Commentary - book by Bruce Berndt and Robert Rankin”
Chapter 22: Review of “Ramanujan: Essays and Surveys - book by Bruce Berndt and Robert Rankin”
Chapter 23: Review of “Partitions - a play on Ramanujan”
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.

Edition Notes

Published in
India

Classifications

Dewey Decimal Class
510
Library of Congress
QA1-939

The Physical Object

Format
[electronic resource] :
Pagination
XVIII, 177 p. 22 illus.
Number of pages
177

ID Numbers

Open Library
OL27084391M
Internet Archive
ramanujansplacew00alla
ISBN 13
9788132207672

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