000 01398nam a22001817a 4500
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008 190627b ||||| |||| 00| 0 eng d
020 _a9780387950693
041 _aeng
082 _a515
_bGamC
100 _aTheodore W.Gamelin
245 _aComplex Analysis /
_cTheodore W. Gamelin
260 _aNew York:
_bSpringer;
_c©2001
300 _axvi, 478p.
440 _aUndergraduate Texts in Mathematics
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.
942 _cBK
999 _c3110
_d3110