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Book Synopsis
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.

Invitation To Q-series, An: From Jacobi's Triple

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A Hardback by Hei-chi Chan

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    View other formats and editions of Invitation To Q-series, An: From Jacobi's Triple by Hei-chi Chan

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 07/04/2011
    ISBN13: 9789814343848, 978-9814343848
    ISBN10: 9814343846
    Also in:
    Calculus and mathematical analysis

    Description

    Book Synopsis
    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.

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