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 w...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Roy, Ranjan 1948- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2017
Schlagworte:	Geschichte Elliptic functions Modular functions Functions Elliptische Funktion Modulfunktion
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 21 Apr 2017)
Beschreibung:	1 online resource (xiii, 475 pages)
ISBN:	9781316671504
DOI:	10.1017/9781316671504