2013

Ramanujan's Place in the World of Mathematics

Essays Providing a Comparative Study

Authors:

ISBN: 978-81-322-0766-5 (Print) 978-81-322-0767-2 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages I-XVIII

  2. Ramanujan and other mathematical luminaries

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-5

      Ramanujan: An Estimation

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      Book Chapter

      Pages 7-11

      Ramanujan: The Second Century

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      Pages 13-18

      L.J. Rogers: A Contemporary of Ramanujan

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      Pages 19-25

      P.A. MacMahon: Ramanujan’s Distinguished Contemporary

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      Pages 27-30

      Fermat and Ramanujan: A Comparison

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      Pages 31-36

      J.J. Sylvester: Ramanujan’s Illustrious Predecessor

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      Pages 37-44

      Erdös and Ramanujan: Legends of Twentieth Century Mathematics

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      Pages 45-50

      C.G.J. Jacobi: Algorist par-excellence

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      Pages 51-56

      Evariste Galois: Founder of Group Theory

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      Pages 57-66

      Leonhard Euler: Most Prolific Mathematician in History

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      Pages 67-73

      G.H. Hardy: Ramanujan’s Mentor

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      Pages 75-79

      J.E. Littlewood: Ramanujan’s Contemporary and Hardy’s Collaborator

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      Pages 81-88

      Niels Henrik Abel: Norwegian Mathematical Genius

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      Pages 89-94

      Issai Schur: Ramanujan’s German Contemporary

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      Pages 95-100

      Robert Rankin: Scottish Link with Ramanujan

  3. On Some Aspects of Ramanujan's Mathematics

    1. Front Matter

      Pages 101-101

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      Book Chapter

      Pages 103-109

      Ramanujan and π

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      Pages 111-116

      Ramanujan and Partitions

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      Pages 117-118

      Major Progress on a Problem of Ramanujan

  4. Book Reviews

    1. Front Matter

      Pages 119-119

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      Book Chapter

      Pages 121-123

      Genius Whom the Gods Loved—A Review of “Srinivasa Ramanujan: The Lost Notebook and Other Unpublished Papers”

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      Book Chapter

      Pages 125-128

      The Discovery and Rediscovery of Mathematical Genius—A Review of “The Man Who Knew Infinity: A Life of the Genius Ramanujan”

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