000			01540nam a2200205Ia 4500
020			_a9780521243919
020			_a0521243912
020			_a9780521286596
020			_a052128659X
082			_a515.98 _bKOD
100			_aKodaira, Kunihiko
245			_aIntroduction to Complex Analysis
260			_aCambridge _aNew York : _bCambridge University Press, _c1984.
300			_aix, 256 pages : _billustrations ;
500			_aIncludes Index
505			_a Holomorphic function -- Cauchy's theorem -- Conformal mappings -- Analytic continuation -- Riemann's mapping theorem.
520			_aThis textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.
650			_aHolomorphic functions.
942			_cREF
999			_c36611 _d36611