000			01896cam a22002654a 4500
003			OSt
005			20220328153203.0
008			000518s2001 nyu b 001 0 eng
020			_a0387950699 (sc : alk. paper)
020			_a8181281144
040			_ctshering
082	0	0	_a515.9 GAM
100	1		_aGamelin, Theodore W.
245	1	0	_aComplex analysis / _cTheodore Williams Gamelin
260			_aNew York : _bSpringer, _c2004.
300			_axviii, 478 p. : _c22.8 cm. _bill. ;
504			_aIncludes bibliographical references (p. 469) and index.
520			_aThe book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia
650		0	_aMathematical analysis.
650		0	_aFunctions of complex variables.
650		0	_aFonctions d'une variable complexe.
906			_a7 _bcbc _corignew _d1 _eocip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c4934 _d4934