000			a
999			_c33023 _d33023
008			240319b xxu||||| |||| 00| 0 eng d
020			_a9780387950693
082			_a515.9 _bGAM
100			_aGamelin, Theodore W.
245			_aComplex analysis
260			_bSpringer, _c2001 _aNew York :
300			_axviii, 478 p. ; _bill., _c23 cm.
365			_b59.99 _c€ _d93.50
490			_aUndergraduate texts in mathematics
504			_aIncludes bibliographical references 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, Spain.
650			_aMathematical analysis
650			_aFunctions of complex variables
710			_aAxler, S.
710			_aGehring, F. W.
710			_aRibet, K. A.
942			_2ddc _cBK