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

Ramanujan's Notebooks

Part III

Hardcover Published: 9th January 1997
ISBN: 9780387975030
Number Of Pages: 510

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During the time period between 1903 and 1914, Ramanujan worked in almost complete isolation in India. Throughout these years, he recorded his mathematical results without proofs in notebooks. Upon Ramanujan's death in 1920, G.H. Hardy strongly urged that Ramanujan's notebooks be published and edited. The English mathematicians G.N. Watson and B.M. Wilson began this task in 1929, but although they devoted nearly ten years to the project, the work was never completed. In 1957, the Tata Institute of Fundamental Research in Bombay published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the tasks of editing Ramanujan's notebooks. Proofs are provided to theorems not yet proven in previous literature, and many results are so startling and different that there are no results akin to them in the literature.

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: 9780387975030
ISBN-10: 0387975039
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 510
Published: 9th January 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 2.87
Weight (kg): 0.91
Edition Number: 2

Earn 587 Qantas Points
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