Overview

The aim of these 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.

Full Product Details

Author:   Hei-chi Chan (Univ Of Illinois At Springfield, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 22.90cm
Weight:   0.567kg
ISBN:  

9789814343848

ISBN 10:   9814343846
Pages:   236
Publication Date:   07 April 2011
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Reviews

A great strength of this book is that almost every major result is proven in several different ways, illustrating the breadth of approaches to q-series ... This book is well written with results that are well motivated and clearly explained. It is an excellent and statisfying introduction to q-series. -- Mathematical Reviews Mathematical Reviews

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