The Mathematical Legacy of Srinivasa Ramanujan

Beschreibung

Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find 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 G. H. 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 is still having an impact on many different fields of mathematical research. The 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. 
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.
Gives a panoramic view of the main contributions of Srinivasa Ramanujan Presents a major theme of Ramanujan's work in non-technical language Provides an excellent introduction to Ramanujan's life and work Includes supplementary material: sn.pub/extras

Autor*in

M. Ram Murty

Themen in »The Mathematical Legacy of Srinivasa Ramanujan«

Mock Modular Forms Partition Function Probabilistic Number Theory Ramanujan's Conjectures The Circle Method combinatorics

Stimmen zu »The Mathematical Legacy of Srinivasa Ramanujan«

“This book is based on a number of talks the authors gave at various research institutes. Their aim is to survey some of Srinivasa Ramanujan’s most significant achievements and the developments they have led to over the last decades. … This volume is suitable as a first introduction to some of Ramanujan’s remarkable and deep ideas.” (C. Baxa, Monatshefte für Mathematik, Vo. 180, 2016)

“The authors introduce the reader to the topics through a historical account of the origin and later developments. … We warmly recommend this book for those who would like to have a glimpse on Ramanujan’s mathematics. Without being lost in the technicalities the reader will get a good look at the shape of many central questions.” (Péter Hajnal, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)

“The Murtys’ goal … is to present Ramanujan’s mathematical legacy to a broad audience, and the thrust of the book is a set of eleven chapters discussing exactly that. … the book will utterly charm you, given its accessibility, style, structure, and depth. It’s a great pleasure to read, and it’s fine scholarship.” (Michael Berg, MAA Reviews, December, 2013)

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