This 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.
Kunihiko Kodaira (1915–97) worked in many areas including harmonic integrals, algebraic geometry and the classification of compact complex analytic surfaces. He held faculty positions at many universities including the University of Tokyo, Harvard University, Massachusetts, Stanford University, California, and The Johns Hopkins University, and the Institute for Advanced Study in Princeton. He was awarded a Fields medal in 1954 and a Wolf Prize in 1984.
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Vendeur : liu xing, Nanjing, JS, Chine
paperback. Etat : New. Paperback. Pub Date: 2008 Jun Pages: 404 Language: English in Publisher: People's Posts and Telecommunications Press book tells the story of the classical theory of complex function. Of easy-to-understand manner closely introduces the basic theory. emphasizing the geometric point of view. to avoid some topological difficulty. The book first from the topology on the simplest case demonstrates the Cauchy integral formula. and leads to the basic nature of the continuously differentiable function. N° de réf. du vendeur CB009469
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