Gespeichert in:
| Titel: | Complex analysis |
|---|---|
| Von: |
Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne
|
| Person: |
Kodaira, Kunihiko
1915-1997 Verfasser aut Beardon, Alan F. Carne, T. K. Sevenster, A. |
| Hauptverfasser: | |
| Weitere beteiligte Personen: | , , |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
107 |
| Notation: | SK 700 |
| Schlagwörter: | |
| Medienzugang: | https://doi.org/10.1017/CBO9780511804045 https://doi.org/10.1017/CBO9780511804045 https://doi.org/10.1017/CBO9780511804045 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (ix, 406 Seiten) |
| ISBN: | 9780511804045 |
| DOI: | 10.1017/CBO9780511804045 |
Internformat
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| 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 | ||
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Datensatz im Suchindex
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| _version_ | 1835108498457755648 |
| any_adam_object | |
| author | Kodaira, Kunihiko 1915-1997 |
| author2 | Beardon, Alan F. Carne, T. K. Sevenster, A. |
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| discipline | Mathematik |
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| id | DE-604.BV043941046 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:15Z |
| institution | BVB |
| isbn | 9780511804045 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350015 |
| oclc_num | 967678917 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 online resource (ix, 406 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spellingShingle | Kodaira, Kunihiko 1915-1997 Complex analysis Cambridge studies in advanced mathematics Functions of complex variables Mathematical analysis Funktionentheorie (DE-588)4018935-1 gnd Funktionstheorie (DE-588)4301988-2 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4301988-2 (DE-588)4123623-3 |
| 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 |
| topic | Functions of complex variables Mathematical analysis Funktionentheorie (DE-588)4018935-1 gnd Funktionstheorie (DE-588)4301988-2 gnd |
| topic_facet | Functions of complex variables Mathematical analysis Funktionentheorie Funktionstheorie Lehrbuch |
| url | https://doi.org/10.1017/CBO9780511804045 |
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