Resonance Of Ramanujan S Mathematics
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Resonance Of Ramanujan S Mathematics
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Author :
language : en
Publisher:
Release Date : 1996
Resonance Of Ramanujan S Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematicians categories.
Resonance Of Ramanujan S Mathematics
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Author : Ratan Prakash Agarwal
language : en
Publisher: New Age International Limited Publishers
Release Date : 1996
Resonance Of Ramanujan S Mathematics written by Ratan Prakash Agarwal and has been published by New Age International Limited Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The Present Volume Is The Third Of The Series Resonance Of Ramanujans Mathematics Written By The Author. The First Two Volumes Were Published In 1996. As In The First Two Volumes, This Volume Contains Five Chapters. The Topics Selected For This Volume Are Continued Fractions -Comprising Of The First Three Chapters, Riemann Zeta Function And The Fifth Chapter Is A Masterly And An Up-To-Date Article On Elliptic Functions On Alternative Bases By Prof. S. Bhargava (Mysore), Reprinted From The Proc. Nat. Acad. Sci (India) 68 (1998), By The Kind Permission Of The Chief Editor. The Chapters On Continued Fractions, A Topic In Which Ramanujan Has Been, Probably, At His Best, Are Aimed At Giving The Most Recent Developments In That Topic And Should Prove Useful To The Research Workers In A Better Understanding Oframanujans Work And In Further Extending His Results. The Fourth Chapter On Riemann Zeta Function, Which Is Of Importance In The Theory Of Numbers, Asymptotic Theory, And Series Transformations Etc., Gives An Idea Of The Diverse Nature Of Topics In Which Ramanujan Has Made Valuable Contribution.The Last Chapter Reprinted From The Proc. Nat. Acad. Sci. (India) 68 (1998) Gives An Up-To-Date And Thorough Discussion Of Elliptic Function Theory On Alternative Bases.This Volume Should Prove To Be A Valuable Asset For Researchers Working Onramanujans Mathematics. Each Chapter, As Before, Is Followed By An Up-To-Date And Comprehensive Bibliography And Provides An Independent Reading.
Collected Papers Of Srinivasa Ramanujan
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Author : Srinivasa Ramanujan
language : en
Publisher: Cambridge University Press
Release Date : 2015-12-03
Collected Papers Of Srinivasa Ramanujan written by Srinivasa Ramanujan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-03 with Mathematics categories.
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.
Ramanujan
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Author : Srinivasa Ramanujan Aiyangar
language : en
Publisher: American Mathematical Soc.
Release Date : 1995-09-07
Ramanujan written by Srinivasa Ramanujan Aiyangar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-07 with Mathematics categories.
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 Notebooks
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Author : Bruce C. Berndt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ramanujan S Notebooks written by Bruce C. Berndt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Ramanujan S Notebooks
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Author : Bruce C. Berndt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ramanujan S Notebooks written by Bruce C. Berndt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Ramanujan S Notebooks
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Author : Bruce C. Berndt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ramanujan S Notebooks written by Bruce C. Berndt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Ramanujan S Lost Notebook
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Author : George E. Andrews
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-05
Ramanujan S Lost Notebook written by George E. Andrews and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-05 with Mathematics categories.
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.
Ramanujan S Papers
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Author : Srinivasa Ramanujan Aiyangar
language : en
Publisher:
Release Date : 2000
Ramanujan S Papers written by Srinivasa Ramanujan Aiyangar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematician categories.
Collected papers of Srinivasa Ramanujan Aiyangar, 1887-1920, an Indian mathematician.
Ramanujan S Lost Notebook
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Author : George E. Andrews
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-06
Ramanujan S Lost Notebook written by George E. Andrews and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-06 with Mathematics categories.
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.