Srinivasa Ramanujan Aiyangar's Books

Ramanujan

Letters and Commentary

By: Srinivasa Ramanujan Aiyangar

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Ramanujan

Letters and Commentary

By: Srinivasa Ramanujan Aiyangar

The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.

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Page Count

366

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821891251

ISBN 13

9780821891254

Ramanujan

Letters and Commentary

By: Srinivasa Ramanujan Aiyangar

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Ramanujan

Letters and Commentary

By: Srinivasa Ramanujan Aiyangar

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Page Count

366

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821891251

ISBN 13

9780821891254

Ramanujan’s Notebooks

By: Bruce C. Berndt

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Ramanujan’s Notebooks

By: Bruce C. Berndt

The fifth and final volume to establish the results claimed by the great Indian mathematician Srinivasa Ramanujan in his "Notebooks" first published in 1957. Although each of the five volumes contains many deep results, the average depth in this volume is possibly greater than in the first four. There are several results on continued fractions - a subject that Ramanujan loved very much. It is the authors wish that this and previous volumes will serve as springboards for further investigations by mathematicians intrigued by Ramanujans remarkable ideas.

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Page Count

652

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387949410

ISBN 13

9780387949413

Ramanujan’s Notebooks

By: Bruce C. Berndt

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Ramanujan’s Notebooks

By: Bruce C. Berndt

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.

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Page Count

384

Publisher

Springer Science & Business Media

Published Date

ISBN 10

038796794X

ISBN 13

9780387967943

Ramanujan’s Notebooks

By: Bruce C. Berndt

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Ramanujan’s Notebooks

By: Bruce C. Berndt

Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.

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Page Count

510

Publisher

Springer

Published Date

ISBN 10

0387975039

ISBN 13

9780387975030

The Lost Notebook and Other Unpublished Papers

By: Srinivasa Ramanujan Aiyangar

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The Lost Notebook and Other Unpublished Papers

By: Srinivasa Ramanujan Aiyangar

The so-called "Lost Notebook" of S.R. Ramanujan was brought to light in 1976 as part of the Watson bequest, by G.E. Andrews with whose introduction this collection of unpublished manuscripts opens. A major portion of the "Lost Notebook" - really just 90 unpaginated sheets of work on "q"-series and other topics - is reproduced here in facsimile. Letters from Ramanujan to Hardy as well as various other sheets of seemingly related notes are then included, on topics including coefficients in the 1/q3 and 1/q2 problems and the mock theta functions. The next 180 pages consist of unpublished manuscripts of Ramanujan, including 28 pages from the 'Loose Papers held in the Trinity College Library. Finally a number of interesting letters that were exchanged between Ramanujan, Littlewood, Hardy and Watson, with a bearing on Ramanujan's work are collected together here with other extracts and fragments.

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Page Count

419

Publisher

Springer

Published Date

ISBN 10

354018726X

ISBN 13

9783540187264

Book's by Srinivasa Ramanujan Aiyangar

Ramanujan

Ramanujan

Ramanujan

Ramanujan

Ramanujan’s Notebooks

Ramanujan’s Notebooks

Ramanujan’s Notebooks

Ramanujan’s Notebooks

Ramanujan’s Notebooks

Ramanujan’s Notebooks

The Lost Notebook and Other Unpublished Papers

The Lost Notebook and Other Unpublished Papers

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