Ramanujan's place in the world of mathematics : essays providing a comparative study

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 d...

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Détails bibliographiques
Auteur principal: Alladi, Krishnaswami, 1955-
Format: Livre numérique
Langue:Anglais
Publié: New Delhi : Springer India 2013.
Cham : Springer Nature
Accès en ligne:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Note: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Ramanujan's place in the world of mathematics, Texte imprimé, 9788132207665
• Ramanujan's Place in the World of Mathematics, Texte imprimé, 9788132207689
• Ramanujan's Place in the World of Mathematics, Texte imprimé, 9788132217244
Table des matières:
  • 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: Onsome 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  • Chapter 19: Review of Srinivasa Ramanujan: The Lost Notebook and other unpublished papers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.