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 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.
"synopsis" may belong to another edition of this title.
Review
'While most of the material included in the first part could be used in a basic course on complex analysis, the whole book could serve as a text for an advanced course on Riemann surfaces. The book contains many pictures (helping to build geometric intuition) and problems (elementary and advanced). The book could be very helpful for students as well as for experts in the field.' European Mathematical Society Newsletter
Book Description
Written by a master of the subject, this profusely illustrated textbook, which includes many examples and exercises, will be appreciated by students and experts. The author develops the classical theory of complex functions, emphasising geometrical ideas in order to avoid some of the topological pitfalls associated with this subject.
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Complex Analysis (Cambridge Studies in Advanced Mathematics)
Seller Image
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