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Complex analysis

Kodaira, Kunihiko, (1915-)

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Complex analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex analysis/ Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne.
Author:	Kodaira, Kunihiko,
other author:	Beardon, Alan F.
Published:	Cambridge :Cambridge University Press, : 2007.,
Description:	ix, 406 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Functions of complex variables. -
Online resource:	https://doi.org/10.1017/CBO9780511804045
ISBN:	9780511804045

Complex analysis
Kodaira, Kunihiko,1915-

Complex analysis[electronic resource] /Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne. - Cambridge :Cambridge University Press,2007. - ix, 406 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;107. - Cambridge studies in advanced mathematics ;107..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511804045Subjects--Topical Terms:

523875
Functions of complex variables.

LC Class. No.: QA331.7 / .K63313 2007

Dewey Class. No.: 515.9

Complex analysis
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020 $a 9780521809375 $q (hardback)
020 $a 9780521003988 $q (paperback)
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100 1 $a Kodaira, Kunihiko, $d 1915- $3 700318
240 1 0 $a Complex analysis. $l English
245 1 0 $a Complex analysis $h [electronic resource] / $c Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne.
260 $a Cambridge : $b Cambridge University Press, $c 2007.
300 $a ix, 406 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 107
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Functions of complex variables. $3 523875
650 0 $a Mathematical analysis. $3 516833
700 1 $a Beardon, Alan F. $3 523786
700 1 $a Carne, T. K. $3 950337
700 1 $a Sevenster, A. $3 700317
830 0 $a Cambridge studies in advanced mathematics ; $v 107. $3 3470639
856 4 0 $u https://doi.org/10.1017/CBO9780511804045