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An Invitation to Q-series

2011 Mathematics
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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis An Invitation to Q-series by : Hei-Chi Chan

Download or read book An Invitation to Q-series written by Hei-Chi Chan. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity"

2011-04-04 Mathematics
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Release : 2011-04-04
Genre : Mathematics
Kind : eBook
Book Rating : 583/5 ( reviews)

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Book Synopsis Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity" by : Hei-chi Chan

Download or read book Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity" written by Hei-chi Chan. This book was released on 2011-04-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Invitation to Q-series

2011 q-series
Download An Invitation to Q-series PDF Online Free

Author :
Release : 2011
Genre : q-series
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis An Invitation to Q-series by : Chan Hei-Chi

Download or read book An Invitation to Q-series written by Chan Hei-Chi. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:

Theta functions, elliptic functions and π

2020-07-06 Mathematics
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Release : 2020-07-06
Genre : Mathematics
Kind : eBook
Book Rating : 754/5 ( reviews)

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Book Synopsis Theta functions, elliptic functions and π by : Heng Huat Chan

Download or read book Theta functions, elliptic functions and π written by Heng Huat Chan. This book was released on 2020-07-06. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's work on Pi. The included exercises make it ideal for both classroom use and self-study.

An Invitation to the Rogers-Ramanujan Identities

2017-10-16 Mathematics
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Release : 2017-10-16
Genre : Mathematics
Kind : eBook
Book Rating : 962/5 ( reviews)

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Book Synopsis An Invitation to the Rogers-Ramanujan Identities by : Andrew V. Sills

Download or read book An Invitation to the Rogers-Ramanujan Identities written by Andrew V. Sills. This book was released on 2017-10-16. Available in PDF, EPUB and Kindle. Book excerpt: The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic proof theory). Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers—Ramanujan identities and will include related historical material that is unavailable elsewhere.

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