Complex analysis / Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne.
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 t...
| Uniform Title: | Complex analysis.
English Cambridge studies in advanced mathematics ; 107. |
|---|---|
| Main Author: | |
| Other Authors: | |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2007.
|
| Series: | Cambridge studies in advanced mathematics ;
107. |
| Subjects: | |
| Online Access: | |
| Physical Description: | 1 online resource (ix, 406 pages) : digital, PDF file(s). |
| Format: | Electronic eBook |
MARC
| LEADER | 00000nam a22000008i 4500 | ||
|---|---|---|---|
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| 003 | OCoLC | ||
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| 050 | 0 | 0 | |a QA331.7 |b .K63313 2007 |
| 082 | 0 | 0 | |a 515.9 |2 22 |
| 100 | 1 | |a Kodaira, Kunihiko, |d 1915-1997, |e author. |0 http://id.loc.gov/authorities/names/n50042630 | |
| 240 | 1 | 0 | |a Complex analysis. |l English |
| 245 | 1 | 0 | |a Complex analysis / |c Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne. |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2007. | |
| 300 | |a 1 online resource (ix, 406 pages) : |b digital, PDF file(s). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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. |0 http://id.loc.gov/authorities/subjects/sh85052356 | |
| 650 | 0 | |a Mathematical analysis. |0 http://id.loc.gov/authorities/subjects/sh85082116 | |
| 700 | 1 | |a Beardon, Alan F., |e editor. |0 http://id.loc.gov/authorities/names/n78024076 | |
| 700 | 1 | |a Carne, T. K., |e editor. |0 http://id.loc.gov/authorities/names/nb2007018661 | |
| 700 | 1 | |a Sevenster, A., |e translator. | |
| 776 | 0 | 8 | |i Print version: |a Kodaira, Kunihiko, 1915- |t Complex analysis |z 9780521809375. |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 107. |0 http://id.loc.gov/authorities/names/n84708314 | |
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