Elliptic and Modular Functions from Gauss to Dedekind to Hecke - Rilegato

Roy, Ranjan

Rilegato

ISBN 10: 1107159385 ISBN 13: 9781107159389

Casa editrice: Cambridge University Press, 2017

Riassunto

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area.

Su questo libro

Recensione

'Finally, it needs to be stressed that Roy does much more than present these mathematical works as museum pieces. He takes pains to tie them in to modern work when reasonable and appropriate, and that of course just adds to the quality of his work. I am very excited to have a copy of this wonderful book in my possession.' Michael Berg, MAA Reviews

'This book will be a valuable resource for understanding modular functions in their historical context, especially for readers not fluent in the languages of the original papers.' Paul M. Jenkins, Mathematical Reviews

Descrizione del libro

Many mathematicians today believe mathematical works from past centuries are inaccessible, not useful, or both. This book demonstrates that past works are not only readable, but brimming with ideas and insights. It is aimed at graduate students or researchers working in modular functions, number theory, complex analysis, or special functions.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2017
• ISBN 10: 1107159385
• ISBN 13: 9781107159389
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 488