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© 2013

Ramanujan's Place in the World of Mathematics

Essays Providing a Comparative Study

Book

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Ramanujan and Other Mathematical Luminaries

    1. Front Matter
      Pages 1-1
    2. Krishnaswami Alladi
      Pages 3-5
    3. Krishnaswami Alladi
      Pages 7-11
    4. Krishnaswami Alladi
      Pages 13-18
    5. Krishnaswami Alladi
      Pages 27-30
    6. Krishnaswami Alladi
      Pages 45-50
    7. Krishnaswami Alladi
      Pages 51-56
    8. Krishnaswami Alladi
      Pages 67-73
    9. Krishnaswami Alladi
      Pages 81-88
    10. Krishnaswami Alladi
      Pages 89-94
    11. Krishnaswami Alladi
      Pages 95-100
  3. Some Aspects of Ramanujan’s Mathematics

    1. Front Matter
      Pages 101-101
    2. Krishnaswami Alladi
      Pages 103-109
    3. Krishnaswami Alladi
      Pages 111-116

About this book

Introduction

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.

Keywords

Great Mathematicians History of Mathematics Ramanujan Ramanujan and Number Theory Ramanujan and pi

Authors and affiliations

  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

About the authors

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 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 research influenced by Ramanujan. He annually writes articles about Ramanujan and his place in the world of mathematics, being published in several national dailies. He is presently editor-in-chief of The Ramanujan Journal, editor of the book series Developments in Mathematics (Springer), and associated editor of Notices of the American Mathematical Society.

Bibliographic information

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Reviews

From the reviews:

“One of the best ways to understand Ramanujan and his mathematics is to study his life and work in comparison to other outstanding mathematicians in history whose lives and works have things in common with Ramanujan. Some of them, like Ramanujan, underwent great difficulties in life but, undeterred by these obstacles, produced work of the highest quality. After providing an evaluation of Ramanujan and discussing the possible impact of his work in the years following his centenary, there is a collection of essays on 13 mathematical luminaries that provides a comparative study. These essays are really the heart of the book….As [George] Andrews writes in his Foreword: “Alladi, who has worked in several areas of number theory and analysis, and who, as the editor of The Ramanujan Journal, is uniquely qualified to write these historical sketches which provide an unusual and compelling view of Ramanujan.” 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, EMS Newsletter March 2013

“It is in fact a great book to go swimming in. Alladi has put together a sweeping compendium of essays on Ramanujan … . It is a wonderful book to browse through, and before you know it, you’ll have read it all. … All in all, this book is clearly entirely irresistible. Get a copy for yourself. … You can’t miss.” (Michael Berg, MAA Reviews, January, 2013)

“It is a unique book and can be read effortlessly even by non-mathematicians. Each article can be read separately. … strongly recommends this book to each and every one irrespective of their area of work and interest and also to school teachers and students. To sum up, it is an excellent book, highly enjoyable and easily readable.” (Girish Kumar Ramaiah, Zentralblatt MATH, Vol. 1257, 2013)