000			02019nam a22003378i 4500
001			CR9781316671504
003			UkCbUP
005			20200124160336.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			151204s2017||||enk o ||1 0|eng|d
020			_a9781316671504 (ebook)
020			_z9781107159389 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA343 _b.R69 2017
082	0	0	_a515/.983 _223
100	1		_aRoy, Ranjan, _d1948- _eauthor.
245	1	0	_aElliptic and modular functions : _bfrom Gauss to Dedekind to Hecke / _cRanjan Roy, Beloit College.
264		1	_aCambridge : _bCambridge University Press, _c2017.
300			_a1 online resource (xiii, 475 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 21 Apr 2017).
520			_aThis 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.
650		0	_aElliptic functions.
650		0	_aModular functions.
650		0	_aFunctions.
776	0	8	_iPrint version: _z9781107159389
856	4	0	_uhttps://doi.org/10.1017/9781316671504
999			_c523018 _d523016