|責任表示||Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne|
|シリーズ||Cambridge studies in advanced mathematics ; 107|
|出版者||Cambridge, U.K. : Cambridge University Press|
|大きさ||ix, 406 p. : ill. ; 24 cm|
|概要||Written by a master of the subject, this textbook will be appreciated by students and experts. The author develops the classical theory of functions of a complex variable in a clear and straightforwar... manner. In general, the approach taken here emphasises geometrical aspects of the theory in order to avoid some of the topological pitfalls associated with this subject. Thus, Cauchy's integral formula is first proved in a topologically simple case from which the author deduces the basic properties of holomorphic functions. Starting from the basics, students are led on to the study of conformal mappings, Riemann's mapping theorem, analytic functions on a Riemann surface, and ultimately the Riemann-Roch and Abel theorems. Profusely illustrated and with plenty of examples, and problems (solutions to many of which are included), this book should be a stimulating text for advanced courses in complex analysis. Book jacket.続きを見る|
|一般注記||Includes bibliographical references and index
Originally published in Japanese as Complex analysis, vols. I, II and III, by Iwanami Shoten, Publishers, Tokyo, 1977 and 1978
Volumes I and II published in English in 1984 as Introduction to complex analysis. Combined three-volume edition first published in English 2007
|著者標目||*小平, 邦彦(1915-) <コダイラ, クニヒコ>
Beardon, Alan F.
Carne, T. K.