TY  - BOOK
AU  - Kodaira,Kunihiko
AU  - Beardon,Alan F.
AU  - Carne,T.K.
AU  - Sevenster,A.
TI  - Complex analysis
T2  - Cambridge studies in advanced mathematics
SN  - 9780511804045 (ebook)
AV  - QA331.7 .K63313 2007
U1  - 515.9 22
PY  - 2007///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Functions of complex variables
KW  - Mathematical analysis
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - Written by a master of the subject, this text will be appreciated by students and experts for the way it develops the classical theory of functions of a complex variable in a clear and straightforward 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
UR  - https://doi.org/10.1017/CBO9780511804045
ER  -