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Ramanujan's Place in the World of Mathematics 3 Foreword 6 Preface 8 Acknowledgements 13 Photo Credits 13 Permissions for Articles 13 Contents 15 Part I: Ramanujan and Other Mathematical Luminaries 17 Chapter 1: Ramanujan: An Estimation 18 100 Percent Pure Talent 20 Chapter 2: Ramanujan: The Second Century 21 Mock Theta Functions 21 Ramanujan's Congruences 22 Rogers-Ramanujan Identities 23 Special Functions 24 The Notebooks 24 The Lost Notebook 24 The Undying Magic 25 Chapter 3: L.J. Rogers: A Contemporary of Ramanujan 26 Man of Many Talents 27 The Rogers-Ramanujan Identities 28 The Hard Hexagon Model 29 The Mechanism 29 Anticipated Others 30 Invariant Theory 30 False Theta Functions 30 Continuing Rediscovery 30 Chapter 4: P.A. MacMahon: Ramanujan's Distinguished Contemporary 32 Military Career and India 33 Contributions to Mathematics 33 Connection with Ramanujan 36 The Hardy-Ramanujan Formula 36 The Ramanujan Congruences 36 The Rogers-Ramanujan Identities 37 A Parity Question 38 MacMahon's Stature 38 Chapter 5: Fermat and Ramanujan: A Comparison 39 Chapter 6: J.J. Sylvester: Ramanujan's Illustrious Predecessor 43 Foundation Laid by Euler 44 Sylvester Before Johns Hopkins 44 Sylve

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