000			03633nam a22005535i 4500
001			978-0-8176-4773-5
003			DE-He213
005			20251006084439.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817647735
020			_a99780817647735
024	7		_a10.1007/978-0-8176-4773-5 _2doi
082	0	4	_a516 _223
100	1		_aGray, Jeremy J. _eauthor.
245	1	0	_aLinear Differential Equations and Group Theory from Riemann to Poincaré _h[electronic resource] / _cby Jeremy J. Gray.
250			_aSecond Edition.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2008.
300			_aXX, 338 p. 30 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModern Birkhäuser Classics
505	0		_aHypergeometric Equations -- Lazarus Fuchs -- Algebraic Solutions to a Differential Equation -- Modular Equations -- Some Algebraic Curves -- Automorphic Functions.
520			_aThis book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched with historical accounts of the Riemann-Hilbert problem, the uniformization theorem, Picard-Vessiot theory, and the hypergeometric equation in higher dimensions. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level. "If you want to know what mathematicians like Gauss, Euler and Dirichlet were doing...this book could be for you. It fills in many historical gaps, in a story which is largely unknown...This book is the result of work done by a serious historian of mathematics...If you are intrigued by such topics studied years ago but now largely forgotten...then read this book."--The Mathematical Gazette (on the second edition) "One among the most interesting books on the history of mathematics... Very stimulating reading for both historians of modern mathematics and mathematicians as well."--Mathematical Reviews (on the first edition) "The book contains an amazing wealth of material relating to the algebra, geometry, and analysis of the nineteenth century.... Written with accurate historical perspective and clear exposition, this book is truly hard to put down."--Zentralblatt fur Mathematik (review of 1st edition)
650		0	_aMATHEMATICS.
650		0	_aGROUP THEORY.
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aFUNCTIONS OF COMPLEX VARIABLES.
650		0	_aDIFFERENTIAL EQUATIONS.
650		0	_aGEOMETRY.
650		0	_aMATHEMATICS_{DOLLAR}XHISTORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aGEOMETRY.
650	2	4	_aFUNCTIONAL ANALYSIS.
650	2	4	_aHISTORY OF MATHEMATICS.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aORDINARY DIFFERENTIAL EQUATIONS.
650	2	4	_aFUNCTIONS OF A COMPLEX VARIABLE.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817647728
830		0	_aModern Birkhäuser Classics
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4773-5 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59785 _d59785