The Lost Notebook And Other Unpublished Papers

Author : George E. Andrews
Publisher : Springer Science & Business Media
ISBN 13 : 9780387255293
Total Pages : 460 pages
Book Rating : 4.9X/5 ( download)

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Download or read book Ramanujan's Lost Notebook written by George E. Andrews and published by Springer Science & Business Media. This book was released on 2005-05-06 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Srinivasa Ramanujan Aiyangar
Publisher : Springer
ISBN 13 : 9780387187266
Total Pages : 419 pages
Book Rating : 4.6X/5 ( download)

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Download or read book The Lost Notebook and Other Unpublished Papers written by Srinivasa Ramanujan Aiyangar and published by Springer. This book was released on 1988 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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was brought to light in 1976 as part of the Watson bequest, by G.E. Andrews with whose introduction this collection of unpublished manuscripts opens.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 The next 180 pages consist of unpublished manuscripts of Ramanujan, including 28 pages from the 'Loose Papers` held in the Trinity College Library.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.

Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
ISBN 13 : 0821841785
Total Pages : 210 pages
Book Rating : 4.85/5 ( download)

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Download or read book Number Theory in the Spirit of Ramanujan written by Bruce C. Berndt and published by American Mathematical Soc.. This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Srinivasa Ramanujan
Publisher :
ISBN 13 : 9788185198354
Total Pages : 419 pages
Book Rating : 4.57/5 ( download)

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Download or read book Lost Notebook and Other Unpublished Papers written by Srinivasa Ramanujan and published by . This book was released on 1993-12 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Srinivasa Ramanujan's achievements in research made him perhaps the greatest Indian mathematician of modern times. By the time he was 12 years old he had worked through a copy of Loney's Trigonometry. At the age of 16 he verified over 6,000 formulae in Carr's Synopsis of Pure Mathematics. By the time he was married at 21 he had already obtained several results in the areas of elliptic integrals, hypergeometric series and divergent series. In 1918 he was elected a Fellow of the Royal Society and a Fellow of Trinity College, but died shortly thereafter.

Author : George E. Andrews
Publisher : Springer Science & Business Media
ISBN 13 : 0387777660
Total Pages : 423 pages
Book Rating : 4.65/5 ( download)

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Download or read book Ramanujan's Lost Notebook written by George E. Andrews and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Srinivasa Ramanujan Aiyangar
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.22/5 ( download)

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Download or read book Ramanujan's Notebooks written by Srinivasa Ramanujan Aiyangar and published by . This book was released on 1985 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Srinivasa Ramanujan Aiyangar
Publisher :
ISBN 13 : 9781842655078
Total Pages : 0 pages
Book Rating : 4.78/5 ( download)

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Download or read book The Lost Notebook and Other Unpublished Papers written by Srinivasa Ramanujan Aiyangar and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers q-series and related topics including mock functions, 60 per cent Modular equations and relations, singular moduli, 30 per cent Integrals, Dirichlet series, congruences, asymptotics, miscellaneous.

Author : Krishnaswami Alladi
Publisher : Birkhäuser
ISBN 13 : 9783030570521
Total Pages : 810 pages
Book Rating : 4.25/5 ( download)

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Download or read book George E. Andrews 80 Years of Combinatory Analysis written by Krishnaswami Alladi and published by Birkhäuser. This book was released on 2022-02-11 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a printed testimony for the fact that George Andrews, one of the world’s leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference “Combinatory Analysis 2018” was organized at the Pennsylvania State University from June 21 to 24, 2018. This volume comprises the original articles from the Special Issue “Combinatory Analysis 2018 – In Honor of George Andrews’ 80th Birthday” resulting from the conference and published in Annals of Combinatorics. In addition to the 37 articles of the Andrews 80 Special Issue, the book includes two new papers. These research contributions explore new grounds and present new achievements, research trends, and problems in the area. The volume is complemented by three special personal contributions: “The Worlds of George Andrews, a daughter’s take” by Amy Alznauer, “My association and collaboration with George Andrews” by Krishna Alladi, and “Ramanujan, his Lost Notebook, its importance” by Bruce Berndt. Another aspect which gives this Andrews volume a truly unique character is the “Photos” collection. In addition to pictures taken at “Combinatory Analysis 2018”, the editors selected a variety of photos, many of them not available elsewhere: “Andrews in Austria”, “Andrews in China”, “Andrews in Florida”, “Andrews in Illinois”, and “Andrews in India”. This volume will be of interest to researchers, PhD students, and interested practitioners working in the area of Combinatory Analysis, q-Series, and related fields.

Author : Srinivasa Ramanujan Aiyangar
Publisher :
ISBN 13 : 9788173199479
Total Pages : 419 pages
Book Rating : 4.77/5 ( download)

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Download or read book The Lost Notebook and Other Unpublished Papers: Mathematical Works of Srinivas Ramanujan written by Srinivasa Ramanujan Aiyangar and published by . This book was released on 2009-01-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : George E. Andrews
Publisher : Springer Science & Business Media
ISBN 13 : 038728124X
Total Pages : 438 pages
Book Rating : 4.47/5 ( download)

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Download or read book Ramanujan's Lost Notebook written by George E. Andrews and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.