Resonance of Ramanujan's Mathematics

Resonance of Ramanujan's Mathematics
Author: Ratan Prakash Agarwal
Publisher: New Age International Limited Publishers
Total Pages: 238
Release: 1996
Genre: Mathematics
ISBN:

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.

Ramanujan: Essays and Surveys

Ramanujan: Essays and Surveys
Author: Bruce C. Berndt
Publisher: American Mathematical Soc.
Total Pages: 388
Release: 2001
Genre: Biography & Autobiography
ISBN: 9780821826249

This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader. The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes. Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the Journal of the Indian Mathematical Society. The last half of the book begins with a section on ``Ramanujan's Manuscripts and Notebooks''. Included is an important article by G. E. Andrews on Ramanujan's lost notebook. The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's ``Ramanujan and pi'', and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson. This volume complements the book Ramanujan: Letters and Commentary, Volume 9, in the AMS series, History of Mathematics. For more on Ramanujan, see these AMS publications Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Volume 136.H, and Collected Papers of Srinivasa Ramanujan, Volume 159.H, in the AMS Chelsea Publishing series.

Development of Elliptic Functions According to Ramanujan

Development of Elliptic Functions According to Ramanujan
Author: K. Venkatachaliengar
Publisher: World Scientific
Total Pages: 185
Release: 2012
Genre: Mathematics
ISBN: 9814366455

This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter. The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan's work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.

Ramanujan

Ramanujan
Author: Godfrey Harold Hardy
Publisher: American Mathematical Soc.
Total Pages: 266
Release: 1999-01-01
Genre: Mathematics
ISBN: 0821820230

Another excellent book long out of print but much in demand. This book is pulled together by Ramanujan's primary mentor, G. H. Hardy, who was the first to recognize the amazing nature of Ramanujan's ideas. Another exceptional classic from the Chelsea list.

Number Theory and Discrete Mathematics

Number Theory and Discrete Mathematics
Author: A.K. Agarwal
Publisher: Birkhäuser
Total Pages: 314
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034882238

To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 2-6, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K. N. Pathak, Hon. Vice-Chancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, Urbana Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujan--as one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5-day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: • M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values. • C.

Ramanujan

Ramanujan
Author: Srinivasa Ramanujan Aiyangar
Publisher: American Mathematical Soc.
Total Pages: 366
Release: 1995-09-07
Genre: Mathematics
ISBN: 9780821891254

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 Lost Notebook

Ramanujan's Lost Notebook
Author: George E. Andrews
Publisher: Springer Science & Business Media
Total Pages: 460
Release: 2005-05-06
Genre: Biography & Autobiography
ISBN: 9780387255293

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.

Collected Papers of Srinivasa Ramanujan

Collected Papers of Srinivasa Ramanujan
Author: Srinivasa Ramanujan Aiyangar
Publisher: American Mathematical Soc.
Total Pages: 466
Release: 2000
Genre: Mathematics
ISBN: 0821820761

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, the third 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.

Collected Papers of Srinivasa Ramanujan

Collected Papers of Srinivasa Ramanujan
Author: Srinivasa Ramanujan
Publisher: Cambridge University Press
Total Pages: 393
Release: 2015-12-03
Genre: Mathematics
ISBN: 1107536510

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.