Complex analysis:
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...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
107 |
| Links: | https://doi.org/10.1017/CBO9780511804045 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (ix, 406 Seiten) |
| ISBN: | 9780511804045 |
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| 100 | 1 | |a Kodaira, Kunihiko |d 1915- | |
| 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 | |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 107 | |
| 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. | ||
| 700 | 1 | |a Beardon, Alan F. | |
| 700 | 1 | |a Carne, T. K. | |
| 700 | 1 | |a Sevenster, A. | |
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| spelling | Kodaira, Kunihiko 1915- Complex analysis. English Complex analysis Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne Cambridge Cambridge University Press 2007 1 Online-Ressource (ix, 406 Seiten) txt c cr Cambridge studies in advanced mathematics 107 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. Beardon, Alan F. Carne, T. K. Sevenster, A. Erscheint auch als Druck-Ausgabe 9780521003988 Erscheint auch als Druck-Ausgabe 9780521809375 |
| spellingShingle | Kodaira, Kunihiko 1915- Complex analysis |
| title | Complex analysis |
| title_alt | Complex analysis. |
| title_auth | Complex analysis |
| title_exact_search | Complex analysis |
| title_full | Complex analysis Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne |
| title_fullStr | Complex analysis Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne |
| title_full_unstemmed | Complex analysis Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne |
| title_short | Complex analysis |
| title_sort | complex analysis |
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