The Lost Notebook And Other Unpublished Papers Mathematical Works Of Srinivas Ramanujan

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Download or read book The Lost Notebook and Other Unpublished Papers: Mathematical Works of Srinivas Ramanujan written by Srinivasa Ramanujan Aiyangar and published by .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 : 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Download or read book The Lost Notebook and Other Unpublished Papers written by Srinivasa Ramanujan Aiyangar and published by Springer.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was brought to light in 1976 as part of the Watson bequest, by G.E. Andrews with whose introduction this collection of unpublished manuscripts opens.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 The next 180 pages consist of unpublished manuscripts of Ramanujan, including 28 pages from the 'Loose Papers` held in the Trinity College Library.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 : 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 : 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 : 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 : 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.

Author : George E. Andrews
Publisher : Springer Science & Business Media
ISBN 13 : 1461438101
Total Pages : 439 pages
Book Rating : 4.06/5 ( 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 2012-06-08 with total page 439 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." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited." - MathSciNet Review from the first volume: "Andrews a nd Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." - Gazette of the Australian Mathematical Society

Author : George E. Andrews
Publisher : Springer
ISBN 13 : 9780387255293
Total Pages : 438 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. This book was released on 2005-05-06 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.

Author : Srinivasa Ramanujan Aiyangar
Publisher :
ISBN 13 :
Total Pages : 419 pages
Book Rating : 4.27/5 ( download)

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Download or read book Srinivasa Ramanujan written by Srinivasa Ramanujan Aiyangar and published by . This book was released on with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Srinivasa Ramanujan
Publisher :
ISBN 13 :
Total Pages : 419 pages
Book Rating : 4.81/5 ( download)

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Download or read book The lost notebook and other unpublished papers written by Srinivasa Ramanujan and published by . This book was released on 1988 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: