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| ♥ Book Title : Ramanujan’s Notebooks ♣ Name Author : Bruce C. Berndt ∞ Launching : 1999-01-18 ◊ Info ISBN Link : 038796794X ⊗ Detail ISBN code : 9780387967943 ⊕ Number Pages : Total 360 sheet ♮ News id : z8Kjb0_pgx8C
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☯ Full Synopsis : "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."Article| Bruce C. Berndt| Statement ..." |
| ♥ Book Title : Ramanujan's Lost Notebook ♣ Name Author : George E. Andrews ∞ Launching : 2013-06-04 ◊ Info ISBN Link : 9781461440819 ⊗ Detail ISBN code : 1461440815 ⊕ Number Pages : Total 439 sheet ♮ News id : 6Z5GAAAAQBAJ
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☯ Full Synopsis : "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 fourth of five volumes that the authors plan to write on Ramanujan’s lost notebook. In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on q-series. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems. 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 and 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"Article| George E. Andrews| Statement ..." |
| ♥ Book Title : Ramanujan’s Lost Notebook ♣ Name Author : George E. Andrews ∞ Launching : ◊ Info ISBN Link : 9783319778341 ⊗ Detail ISBN code : 331977834X ⊕ Number Pages : Total 233 sheet ♮ News id : cDBtDwAAQBAJ
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☯ Full Synopsis : ""Article| George E. Andrews| Statement ..." |
| ♥ Book Title : The Lost Notebook and Other Unpublished Papers ♣ Name Author : S. Ramanujan ∞ Launching : 2008-01-01 ◊ Info ISBN Link : 1842655078 ⊗ Detail ISBN code : 9781842655078 ⊕ Number Pages : Total 419 sheet ♮ News id : CSXcOgAACAAJ
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☯ Full Synopsis : "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."Article| S. Ramanujan| Statement ..." |
| ♥ Book Title : Ramanujan’s Notebooks ♣ Name Author : Bruce C. Berndt ∞ Launching : 2012-12-06 ◊ Info ISBN Link : 9781461208792 ⊗ Detail ISBN code : 1461208793 ⊕ Number Pages : Total 451 sheet ♮ News id : QoMHCAAAQBAJ
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☯ Full Synopsis : "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."Article| Bruce C. Berndt| Statement ..." |
| ♥ Book Title : The Lost Notebook and Other Unpublished Papers ♣ Name Author : Srinivasa Ramanujan Aiyangar ∞ Launching : 1988 ◊ Info ISBN Link : 038718726X ⊗ Detail ISBN code : 9780387187266 ⊕ Number Pages : Total 419 sheet ♮ News id : 0PRfQgAACAAJ
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☯ Full Synopsis : "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."Article| Srinivasa Ramanujan Aiyangar| Statement ..." |
| ♥ Book Title : Ramanujan's Lost Notebook ♣ Name Author : George E Andrews ∞ Launching : 2013-06-30 ◊ Info ISBN Link : 1461440823 ⊗ Detail ISBN code : 9781461440826 ⊕ Number Pages : Total 460 sheet ♮ News id : N_UivwEACAAJ
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☯ Full Synopsis : ""Article| George E Andrews| Statement ..." |
| ♥ Book Title : S. Ramanujan ♣ Name Author : Dilip M. Salwi ∞ Launching : 2004-02-02 ◊ Info ISBN Link : UOM:39015061378710 ⊗ Detail ISBN code : ⊕ Number Pages : Total 62 sheet ♮ News id : dcfaAAAAMAAJ
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☯ Full Synopsis : "All that mattered to him was the magic and mystery of numbers. The world of numbers was the sole reality for S. Ramanujan, India's most famous mathematician of the twentieth century."Article| Dilip M. Salwi| Statement ..." |
| ♥ Book Title : Collected Papers of Srinivasa Ramanujan ♣ Name Author : Srinivasa Ramanujan Aiyangar ∞ Launching : 1927 ◊ Info ISBN Link : 9780821820766 ⊗ Detail ISBN code : 0821820761 ⊕ Number Pages : Total 426 sheet ♮ News id : oSioAM4wORMC
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☯ Full Synopsis : "The influence of Ramanujan on number theory is without parallel in mathematics. His papers, problems, and letters have spawned a remarkable number of later results by many different mathematicians. Here, his 37 published papers, most of his first two and last letters to Hardy, the famous 58 problems submitted to the Journal of the Indian Mathematical Society, and the commentary of the original editors (Hardy, Seshu Aiyar and Wilson) are reprinted again, after having been unavailable for some time. In this printing of Ramanujan's collected papers, Bruce Berndt provides an annotated guide to Ramanujan's work and to the mathematics it inspired over the last three-quarters of a century. The historical development of ideas is traced in the commentary and by citations to the copious references. The editor has done the mathematical world a tremendous service that few others would be qualified to do."Article| Srinivasa Ramanujan Aiyangar| Statement ..." |
| ♥ Book Title : Notebooks of Srinivasa Ramanujan ♣ Name Author : Srinivasa Ramanujan ∞ Launching : 2013-12-20 ◊ Info ISBN Link : 9783662302248 ⊗ Detail ISBN code : 3662302241 ⊕ Number Pages : Total 392 sheet ♮ News id : KvDnCAAAQBAJ
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☯ Full Synopsis : ";l ~,~. . . 0 7 ~S-5' p 7; t, ,_, t l. . ~ o I . . . -"Article| Srinivasa Ramanujan| Statement ..." |
| ♥ Book Title : A Synopsis of Elementary Results in Pure and Applied Mathematics ♣ Name Author : G. Shoobridge Carr ∞ Launching : 2005 ◊ Info ISBN Link : 9785873262311 ⊗ Detail ISBN code : 5873262314 ⊕ Number Pages : Total 233 sheet ♮ News id : wHQKAwAAQBAJ
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☯ Full Synopsis : ""Article| G. Shoobridge Carr| Statement ..." |
| ♥ Book Title : Ramanujan's Place in the World of Mathematics ♣ Name Author : Krishnaswami Alladi ∞ Launching : 2012-10-30 ◊ Info ISBN Link : 9788132207672 ⊗ Detail ISBN code : 813220767X ⊕ Number Pages : Total 178 sheet ♮ News id : XLNJDylP53QC
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☯ Full Synopsis : "This book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians throughout the history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s spectacular discoveries and remarkable life and of the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. In the book, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, his pathbreaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future. Thus the book is an enlightening study of Ramanujan as a mathematician and a human being."Article| Krishnaswami Alladi| Statement ..." |