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 spectacu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Alladi, Krishnaswami (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Delhi : Springer India : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Temas:
Mathematics.
Number theory.
History.
Number Theory.
History of Mathematical Sciences.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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  • Chapter 19: Review of "Srinivasa Ramanujan: The Lost Notebook and other unpublished papers"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.

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