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

Invitation To Q-Series, An: From Jacobi'S Triple Product Identity To Ramanujan'S "Most Beautiful Identity" book cover

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

Author(s): Hei-Chi Chan (Author)

  • Publisher: Wspc
  • Publication Date: April 4, 2011
  • Language: English
  • Print length: 236 pages
  • ISBN-10: B00H9IDC88

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

Invitation To Q-Series, An: From Jacobi'S Triple Product Identity To Ramanujan'S "Most Beautiful Identity" book cover

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

Author(s): Hei-Chi Chan (Author)

  • Publisher: Wspc
  • Publication Date: April 4, 2011
  • Language: English
  • Print length: 236 pages
  • ISBN-10: B00H9IDC88

View on Amazon

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未经允许不得转载:Wow! eBook » Invitation To Q-Series, An: From Jacobi'S Triple Product Identity To Ramanujan'S "Most Beautiful Identity"

INVITATION TO Q-SERIES, AN: FROM JACOBI'S TRIPLE PRODUCT IDENTITY TO RAMANUJAN'S "MOST BEAUTIFUL IDENTITY"

INVITATION TO Q-SERIES, AN: FROM JACOBI'S TRIPLE PRODUCT IDENTITY TO RAMANUJAN'S "MOST BEAUTIFUL IDENTITY" book cover

INVITATION TO Q-SERIES, AN: FROM JACOBI'S TRIPLE PRODUCT IDENTITY TO RAMANUJAN'S "MOST BEAUTIFUL IDENTITY"

Author(s): Chan Hei-Chi (Author)

  • Publisher: World Scientific Publishing Company
  • Publication Date: April 17, 2011
  • Edition: 1st
  • Language: English
  • Print length: 236 pages
  • ISBN-10: 9814343846
  • ISBN-13: 9789814343848

Book Description

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.

Editorial Reviews

Review

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”

From the Back Cover

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.

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未经允许不得转载:Wow! eBook » INVITATION TO Q-SERIES, AN: FROM JACOBI'S TRIPLE PRODUCT IDENTITY TO RAMANUJAN'S "MOST BEAUTIFUL IDENTITY"