Articles liés à Devopment of Elliptic Functions According to Ramanujan

Devopment of Elliptic Functions According to Ramanujan - Couverture rigide

Livre 6 sur 10: Monographs in Number Theory

Venkatachaliengar, K

 
9789814366458: Devopment of Elliptic Functions According to Ramanujan

Synopsis

This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter. The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan's work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.

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Revue de presse

It is obvious that every arithmetician should want to own a copy of this book, and every modular former should put it on his 'to be handled-with-loving-care-shelf.' Reader of Venkatachaliengar's fine, fine book should be willing to enter into that part of the mathematical world where Euler, Jacobi, and Ramanujan live: beautiful formulas everywhere, innumerable computations with infinite series, and striking manouevres with infinite products. --MAA Reviews

The author was acquainted with many who knew Ramanujan, and so historical passages offer information not found in standard biographical sources. The author has studied Ramanujan's papers and notebooks over a period of several decades. His keen insights, beautiful new theorems, and elegant proofs presented in this monograph will enrich readers. --Mathscinet

The author has studied Ramanujan's papers and notebooks over a period of several decades. His keen insights, beautiful new theorems, and elegant proofs presented in this monograph will enrich readers. --Zentralblatt MATH

Présentation de l'éditeur

This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter. The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan's work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.