000 01893nam a22002415i 4500
005 20210812160324.0
008 131101s2001 xxu| s |||| 0|eng d
020 _a9780387216072
_9978-0-387-21607-2
050 4 _aQA299.6-433
082 0 4 _a515
_223
100 1 _aGamelin, Theodore W.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aComplex Analysis
_h[electronic resource] /
_cby Theodore W. Gamelin.
250 _a1st ed. 2001.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2001.
300 _aXVIII, 478 p. 18 illus.
_bonline resource.
490 1 _aUndergraduate Texts in Mathematics,
_x0172-6056
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 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 1 4 _aAnalysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
856 4 0 _uhttps://doi.org/10.1007/978-0-387-21607-2
999 _c1473
_d1473