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Ramanujan's Notebooks : Part II - Bruce C. Berndt

Ramanujan's Notebooks

Part II

Hardcover Published: 18th January 1999
ISBN: 9780387967943
Number Of Pages: 360

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During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the second of four volumes devoted to the editing of Ramanujan's Notebooks. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan's quarterly reports. In this volume, we examine Chapters 10-15 in Ramanujan's second notebook. If a result is known, we provide references in the literature where proofs may be found; if a result is not known, we attempt to prove it. Not only are the results fascinating, but, for the most part, Ramanujan's methods remain a mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan's thoughts and further develop his beautiful ideas.

Introduction
Hypergeometric Series, I
Hypergeometric Series, II
Continued Fractions
Integrals and Asymptotic Expansions
Infinite Series
Asymptotic Expansions and Modular Forms
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387967943
ISBN-10: 038796794X
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 360
Published: 18th January 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.77 x 16.51  x 1.91
Weight (kg): 0.7
Edition Number: 2

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