Author: George E. Andrews
Publisher: Springer Science & Business Media
ISBN: 9780387255293
Category : Biography & Autobiography
Languages : en
Pages : 460
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Book Description
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: Springer
ISBN: 9780387187266
Category : Fonctions thêta
Languages : en
Pages : 419
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Book Description
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was brought to light in 1976 as part of the Watson bequest, by G.E. Andrews with whose introduction this collection of unpublished manuscripts opens.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 The next 180 pages consist of unpublished manuscripts of Ramanujan, including 28 pages from the 'Loose Papers` held in the Trinity College Library.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.
Author: George E. Andrews
Publisher: Springer Science & Business Media
ISBN: 0387777660
Category : Mathematics
Languages : en
Pages : 423
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Book Description
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: American Mathematical Soc.
ISBN: 0821841785
Category : Mathematics
Languages : en
Pages : 210
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Book Description
Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.
Author: Srinivasa Ramanujan
Publisher: Cambridge University Press
ISBN: 1107536510
Category : Mathematics
Languages : en
Pages : 393
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Book Description
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: Krishnaswami Alladi
Publisher: Springer Nature
ISBN: 3030570509
Category : Mathematics
Languages : en
Pages : 802
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Book Description
This book presents a printed testimony for the fact that George Andrews, one of the world’s leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference “Combinatory Analysis 2018” was organized at the Pennsylvania State University from June 21 to 24, 2018. This volume comprises the original articles from the Special Issue “Combinatory Analysis 2018 – In Honor of George Andrews’ 80th Birthday” resulting from the conference and published in Annals of Combinatorics. In addition to the 37 articles of the Andrews 80 Special Issue, the book includes two new papers. These research contributions explore new grounds and present new achievements, research trends, and problems in the area. The volume is complemented by three special personal contributions: “The Worlds of George Andrews, a daughter’s take” by Amy Alznauer, “My association and collaboration with George Andrews” by Krishna Alladi, and “Ramanujan, his Lost Notebook, its importance” by Bruce Berndt. Another aspect which gives this Andrews volume a truly unique character is the “Photos” collection. In addition to pictures taken at “Combinatory Analysis 2018”, the editors selected a variety of photos, many of them not available elsewhere: “Andrews in Austria”, “Andrews in China”, “Andrews in Florida”, “Andrews in Illinois”, and “Andrews in India”. This volume will be of interest to researchers, PhD students, and interested practitioners working in the area of Combinatory Analysis, q-Series, and related fields.
Author: Maureen Gibbon
Publisher: W. W. Norton & Company
ISBN: 0393867161
Category : Fiction
Languages : en
Pages : 322
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Book Description
Set in the richly drawn art world of nineteenth-century Paris, this stunning historical novel imagines Édouard Manet’s last days in an indelible snapshot of genius, illness, and the dying embers of passion. Suffering from the complications of syphilis toward the end of his life, Édouard Manet begins to jot down his daily impressions, reflections, and memories in a notebook. He travels for healing respites in the French countryside and finds inspiration in nature—a cloud of dragonflies, peonies blanketed by the morning dew. Back in Paris, the artist holds court in his studio and meets a mysterious muse, Suzon. Entranced by Suzon’s cool blue eyes, he decides to paint his final masterpiece, A Bar at the Folies-Bergere, life-sized—and wagers his health to complete it. In a sensual portrait of Manet’s last years, illustrated with his own sketches, Maureen Gibbon offers a vibrant testament to the endurance of the artistic spirit.
Author: Srinivasa Ramanujan Aiyangar
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 536
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Book Description
Author: A.K. Agarwal
Publisher: Birkhäuser
ISBN: 3034882238
Category : Mathematics
Languages : en
Pages : 314
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Book Description
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.
Author: Srinivasa Ramanujan Aiyangar
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 382
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Book Description
