Ramanujan's Lost Notebook

Ramanujan's Lost Notebook
Title Ramanujan's Lost Notebook PDF eBook
Author George E. Andrews
Publisher Springer Science & Business Media
Total Pages 460
Release 2005-05-06
Genre Biography & Autobiography
ISBN 9780387255293

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In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan’s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan’s life. In this book, the notebook is presented with additional material and expert commentary.

Notebooks of Srinivasa Ramanujan

Notebooks of Srinivasa Ramanujan
Title Notebooks of Srinivasa Ramanujan PDF eBook
Author Srinivasa Ramanujan Aiyangar
Publisher
Total Pages 382
Release 1957
Genre Geometry
ISBN

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Ramanujan's Notebooks

Ramanujan's Notebooks
Title Ramanujan's Notebooks PDF eBook
Author Srinivasa Ramanujan Aiyangar
Publisher
Total Pages 536
Release 1985
Genre Mathematics
ISBN

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Ramanujan’s Notebooks

Ramanujan’s Notebooks
Title Ramanujan’s Notebooks PDF eBook
Author Bruce C. Berndt
Publisher Springer Science & Business Media
Total Pages 630
Release 2012-12-06
Genre Mathematics
ISBN 1461216249

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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.

Number Theory in the Spirit of Ramanujan

Number Theory in the Spirit of Ramanujan
Title Number Theory in the Spirit of Ramanujan PDF eBook
Author Bruce C. Berndt
Publisher American Mathematical Soc.
Total Pages 210
Release 2006
Genre Mathematics
ISBN 0821841785

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Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.

Ramanujan

Ramanujan
Title Ramanujan PDF eBook
Author Srinivasa Ramanujan Aiyangar
Publisher American Mathematical Soc.
Total Pages 366
Release 1995-09-07
Genre Mathematics
ISBN 9780821891254

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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.

Ramanujan's Lost Notebook

Ramanujan's Lost Notebook
Title Ramanujan's Lost Notebook PDF eBook
Author George E. Andrews
Publisher Springer Science & Business Media
Total Pages 423
Release 2009-04-05
Genre Mathematics
ISBN 0387777660

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In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated "Ramanujan's lost notebook." The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work.