Ramanujan S Place In The World Of Mathematics

Author by : Krishnaswami Alladi
Language : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 62
Total Download : 275
File Size : 45,7 Mb
pdf pdf

Description : 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.


Collected Papers Of Srinivasa Ramanujan

Author by : Srinivasa Ramanujan Aiyangar
Language : en
Publisher by : American Mathematical Soc.
Format Available : PDF, ePub, Mobi
Total Read : 24
Total Download : 974
File Size : 48,9 Mb
pdf pdf

Description : 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.


The World Of Mathematics

Author by : James R. Newman
Language : en
Publisher by : Рипол Классик
Format Available : PDF, ePub, Mobi
Total Read : 20
Total Download : 264
File Size : 44,8 Mb
pdf pdf

Description :


The World Of Mathematics

Author by : James Roy Newman
Language : en
Publisher by : Courier Corporation
Format Available : PDF, ePub, Mobi
Total Read : 83
Total Download : 322
File Size : 52,9 Mb
pdf pdf

Description : Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com).


The Mathematical Legacy Of Srinivasa Ramanujan

Author by : M. Ram Murty
Language : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 97
Total Download : 393
File Size : 46,6 Mb
pdf pdf

Description : Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.


Number Theory And Discrete Mathematics

Author by : Ashok K. Agarwal
Language : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 14
Total Download : 211
File Size : 49,6 Mb
pdf pdf

Description : This volume contains the proceedings of this conference and collects 29 articles written by some of the leading specialists worldwide. Most of the papers describe recent trends and problems--their current status, as well as historical backgrounds. (Midwest).


Rajasthan Rtet Science Mathematics Practice Sets Level Ii Class Vi Viii In Hindi

Author by : Digital Press
Language : en
Publisher by : by DIGITAL PRESS
Format Available : PDF, ePub, Mobi
Total Read : 56
Total Download : 591
File Size : 54,6 Mb
pdf pdf

Description : RAJASTHAN RTET SCIENCE & MATHEMATICS PRACTICE SETS LEVEL-II (CLASS VI-VIII) (IN HINDI) CTET RTET PREVIOUS YEAR SOLVED PAPERS, TET LEVEL 1 I, LEVEL 2 II, LEVEL 3 III, CLASS 1-5 I-V, 6-8, VI-VIII, PRT TGT PGT, TEACHERS ELEGIBILTY TEST, CTET RTET ONLINE MODEL PRACTICE SETS TESTS, ARIHANT DISHA WILEY CTET, CHILD PSYCHOLOGY DEVELOPMENT & PEDAGOGY


S Ramanujan

Author by : Dilip M. Salwi
Language : en
Publisher by : books catalog
Format Available : PDF, ePub, Mobi
Total Read : 39
Total Download : 586
File Size : 48,8 Mb
pdf pdf

Description : 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.


Ramanujan

Author by : Srinivasa Ramanujan Aiyangar
Language : en
Publisher by : American Mathematical Soc.
Format Available : PDF, ePub, Mobi
Total Read : 28
Total Download : 356
File Size : 49,6 Mb
pdf pdf

Description : 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.


An Invitation To Q Series

Author by : Hei-Chi Chan
Language : en
Publisher by : World Scientific
Format Available : PDF, ePub, Mobi
Total Read : 42
Total Download : 581
File Size : 43,8 Mb
pdf pdf

Description : The aim of this lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers–Ramanujan continued fraction — a result that convinced G H Hardy that Ramanujan was a “mathematician of the highest class”, and (2) what G H Hardy called Ramanujan's “Most Beautiful Identity”. This book covers a range of related results, such as several proofs of the famous Rogers–Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of techniques in q-series.