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Ramanujan's Place in the World of Mathematics

Essays Providing a Comparative Study

  • Encourages bright students to pursue mathematics and exposes them to the enchanting world of Ramanujan

  • Introduces many aspects of Ramanujan’s mathematics and compares his work with other great mathematicians throughout history

  • Appeals to the readers by presenting the life and work of not only Ramanujan but also of many other mathematical luminaries

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Table of contents (33 chapters)

  1. Front Matter

    Pages i-xx
  2. Ramanujan and Other Mathematical Luminaries

    1. Front Matter

      Pages 1-1
    2. Ramanujan: An Estimation

      • Krishnaswami Alladi
      Pages 3-5
    3. Ramanujan: The Second Century

      • Krishnaswami Alladi
      Pages 7-11
    4. L.J. Rogers: A Contemporary of Ramanujan

      • Krishnaswami Alladi
      Pages 13-18
    5. Fermat and Ramanujan: A Comparison

      • Krishnaswami Alladi
      Pages 27-30
    6. C.G.J. Jacobi: Algorist par-excellence

      • Krishnaswami Alladi
      Pages 45-49
    7. Evariste Galois: Founder of Group Theory

      • Krishnaswami Alladi
      Pages 51-57
    8. G.H. Hardy: Ramanujan’s Mentor

      • Krishnaswami Alladi
      Pages 69-75
    9. Niels Henrik Abel: Norwegian Mathematical Genius

      • Krishnaswami Alladi
      Pages 83-90
    10. Issai Schur: Ramanujan’s German Contemporary

      • Krishnaswami Alladi
      Pages 91-96
    11. Robert Rankin: Scottish Link with Ramanujan

      • Krishnaswami Alladi
      Pages 97-102
  3. Some Aspects of Ramanujan’s Mathematics

    1. Front Matter

      Pages 111-111
    2. Ramanujan and π

      • Krishnaswami Alladi
      Pages 113-119

About this book

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.

Authors and Affiliations

  • Department of Mathematics, University of Florida, Gainesville, USA

    Krishnaswami Alladi

About the author

Krishnaswami Alladi is Professor at the Department of Mathematics at the University of Florida, where he has been the department chairman from 1998–2008. He received his Ph.D. 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 in several national dailies and scientific magazines. He is presently editor-in-chief of The Ramanujan Journal, editor of the book series Developments in Mathematics (Springer), and Chair of the SASTRA Ramanujan Prize Committee. He was associate editor of Notices of the American Mathematical Society.

Bibliographic Information

  • Book Title: Ramanujan's Place in the World of Mathematics

  • Book Subtitle: Essays Providing a Comparative Study

  • Authors: Krishnaswami Alladi

  • DOI: https://doi.org/10.1007/978-981-15-6241-9

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Singapore Pte Ltd. 2021

  • Hardcover ISBN: 978-981-15-6240-2Published: 18 September 2021

  • Softcover ISBN: 978-981-15-6243-3Published: 18 September 2022

  • eBook ISBN: 978-981-15-6241-9Published: 17 September 2021

  • Edition Number: 2

  • Number of Pages: XX, 265

  • Number of Illustrations: 24 b/w illustrations, 36 illustrations in colour

  • Topics: History of Mathematical Sciences, Number Theory, History of Science

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access