Synopsis
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 remainder of the book deals with conformal mappings, analytic continuation, Riemann's mapping theorem, Riemann surfaces and analytic functions on a Riemann surface. 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 either a first course in complex analysis or more advanced study.
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Book Description
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. The scope of the book is large starting with elementary notions suitable for a first course, and ending with material suitable for those engaged in more advanced study.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 students of complex analysis.
About the Author
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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Xiaoping the Kunihiko complex analysis (English)(Chinese Edition)
Published by
Cambridge University Press, 2008
ISBN 10: 7115178402
ISBN 13: 9787115178404
New
paperback
Seller: liu xing, Nanjing, JS, China
Seller rating 5 out of 5 stars
paperback. Condition: 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. Seller Inventory # CB009469