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Berndt,B.C.:Ramanujan's Notebooks

Ramanujan’s Notebooks

Part IV

Authors: Berndt, Bruce C.

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About this book

During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they 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 fourth of five volumes devoted to the editing of Ramanujan's notebooks. Parts I, II, and III, published in 1985, 1989, and 1991, contain accounts of Chapters 1-21 in Ramanujan's second notebook as well as a description of his quarterly reports. This is the first of two volumes devoted to proving the results found in the unorganized portions of the second notebook and in the third notebook. The author also proves those results in the first notebook that are not found in the second or third notebooks. For those results that are known, references in the literature are provided. Otherwise, complete proofs are given. Over 1/2 of the results in the notebooks are new. Many of them are so startling and different that there are no results akin to them in the literature.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-1-4612-0879-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
Softcover 145,59 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Ramanujan’s Notebooks
Book Subtitle
Part IV
Authors
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
eBook ISBN
978-1-4612-0879-2
DOI
10.1007/978-1-4612-0879-2
Hardcover ISBN
978-0-387-94109-7
Softcover ISBN
978-1-4612-6932-8
Edition Number
1
Number of Pages
XII, 451
Topics

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