Notebooks Of Srinivasa Ramanujan

Author : George E. Andrews,Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 44,6 Mb
Release : 2005-05-06
Category : Biography & Autobiography
ISBN : 038725529X

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Ramanujan's Lost Notebook by George E. Andrews,Bruce C. Berndt Pdf

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 : Unknown
Page : 382 pages
File Size : 43,9 Mb
Release : 1957
Category : Geometry
ISBN : UCM:532061735X

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Notebooks of Srinivasa Ramanujan by Srinivasa Ramanujan Aiyangar Pdf

Author : Srinivasa Ramanujan Aiyangar
Publisher : Unknown
Page : 536 pages
File Size : 51,9 Mb
Release : 1985
Category : Mathematics
ISBN : UCSD:31822006799522

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Ramanujan's Notebooks by Srinivasa Ramanujan Aiyangar Pdf

Author : Srinivasa Ramanujan,Srinivasa Ramanujan Aiyangar
Publisher : Unknown
Page : 128 pages
File Size : 44,9 Mb
Release : 1984
Category : Electronic
ISBN : OCLC:832640337

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Notebooks of Srinivasa Ramanujan by Srinivasa Ramanujan,Srinivasa Ramanujan Aiyangar Pdf

Author : Srinivasa Ramanujan
Publisher : Cambridge University Press
Page : 393 pages
File Size : 51,8 Mb
Release : 2015-12-03
Category : Mathematics
ISBN : 9781107536517

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Collected Papers of Srinivasa Ramanujan by Srinivasa Ramanujan Pdf

Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.

Author : Srinivasa Ramanujan Aiyangar
Publisher : Unknown
Page : 128 pages
File Size : 44,5 Mb
Release : 1957
Category : Mathematics
ISBN : OCLC:221859635

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Notebooks of Srinivasa Ramanujan by Srinivasa Ramanujan Aiyangar Pdf

Author : Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 630 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461216247

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Ramanujan’s Notebooks by Bruce C. Berndt Pdf

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.

Author : Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210887

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Ramanujan’s Notebooks by Bruce C. Berndt Pdf

Srinivasa Ramanujan is, arguably, the greatest mathematician that India has produced. His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important new results. With the support of the English number theorist G. H. Hardy, Ramanujan received a scholarship to go to England and study mathematics. He died very young, at the age of 32, leaving behind three notebooks containing almost 3000 theorems, virtually all without proof. G. H. Hardy and others strongly urged that notebooks be edited and published, and the result is this series of books. This volume dealswith Chapters 1-9 of Book II; each theorem is either proved, or a reference to a proof is given.

Author : Srinivasa Ramanujan
Publisher : Springer
Page : 390 pages
File Size : 44,6 Mb
Release : 2013-12-20
Category : Mathematics
ISBN : 9783662302248

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Notebooks of Srinivasa Ramanujan by Srinivasa Ramanujan Pdf

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Author : Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461209652

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Ramanujan’s Notebooks by Bruce C. Berndt Pdf

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.

Author : Srinivasa Ramanujan
Publisher : Springer
Page : 392 pages
File Size : 42,6 Mb
Release : 1985-07-01
Category : Mathematics
ISBN : 3540136304

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Notebooks of Srinivasa Ramanujan by Srinivasa Ramanujan Pdf

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Author : George E. Andrews,Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 423 pages
File Size : 46,8 Mb
Release : 2009-04-05
Category : Mathematics
ISBN : 9780387777665

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Ramanujan's Lost Notebook by George E. Andrews,Bruce C. Berndt Pdf

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 : Bruce C. Berndt
Publisher : Springer
Page : 357 pages
File Size : 51,7 Mb
Release : 1985-03-12
Category : Mathematics
ISBN : 0387961100

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Ramanujan’s Notebooks by Bruce C. Berndt Pdf

Srinivasa Ramanujan is, arguably, the greatest mathematician that India has produced. His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important new results. With the support of the English number theorist G. H. Hardy, Ramanujan received a scholarship to go to England and study mathematics. He died very young, at the age of 32, leaving behind three notebooks containing almost 3000 theorems, virtually all without proof. G. H. Hardy and others strongly urged that notebooks be edited and published, and the result is this series of books. This volume dealswith Chapters 1-9 of Book II; each theorem is either proved, or a reference to a proof is given.

Author : Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461245308

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Ramanujan’s Notebooks by Bruce C. Berndt Pdf

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.

Author : Srinivasa Ramanujan Aiyangar
Publisher : Unknown
Page : 351 pages
File Size : 43,6 Mb
Release : 1984
Category : Mathematics
ISBN : 3662302268

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Notebooks of Srinivasa Ramanujan by Srinivasa Ramanujan Aiyangar Pdf

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