Complex Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Springer London
2003
|
| Schriftenreihe: | Springer Undergraduate Mathematics Series
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Complex analysis is one of the most attractive of all the core topics in an undergraduate mathematics course. Its importance to applications means that it can be studied both from a very pure perspective and a very applied perspective. This book takes account of these varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. Beginning with a summary of what the student needs to know at the outset, it covers all the topics likely to feature in a first course in the subject, including: complex numbers, differentiation, integration, Cauchy's theorem, and its consequences, Laurent series and the residue theorem, applications of contour integration, conformal mappings, and harmonic functions. A brief final chapter explains the Riemann hypothesis, the most celebrated of all the unsolved problems in mathematics, and ends with a short descriptive account of iteration, Julia sets and the Mandelbrot set. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided |
| Beschreibung: | 1 Online-Ressource (XI, 260 p) |
| ISBN: | 9781447100270 9781852337339 |
| ISSN: | 1615-2085 |
| DOI: | 10.1007/978-1-4471-0027-0 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4471-0027-0 |
| format | Electronic eBook |
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| isbn | 9781447100270 9781852337339 |
| issn | 1615-2085 |
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| spelling | Howie, John M. Verfasser aut Complex Analysis by John M. Howie London Springer London 2003 1 Online-Ressource (XI, 260 p) txt rdacontent c rdamedia cr rdacarrier Springer Undergraduate Mathematics Series 1615-2085 Complex analysis is one of the most attractive of all the core topics in an undergraduate mathematics course. Its importance to applications means that it can be studied both from a very pure perspective and a very applied perspective. This book takes account of these varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. Beginning with a summary of what the student needs to know at the outset, it covers all the topics likely to feature in a first course in the subject, including: complex numbers, differentiation, integration, Cauchy's theorem, and its consequences, Laurent series and the residue theorem, applications of contour integration, conformal mappings, and harmonic functions. A brief final chapter explains the Riemann hypothesis, the most celebrated of all the unsolved problems in mathematics, and ends with a short descriptive account of iteration, Julia sets and the Mandelbrot set. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided Mathematics Global analysis (Mathematics) Functions of complex variables Analysis Functions of a Complex Variable Mathematik Funktionentheorie (DE-588)4018935-1 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Funktionentheorie (DE-588)4018935-1 s 2\p DE-604 https://doi.org/10.1007/978-1-4471-0027-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Howie, John M. Complex Analysis Mathematics Global analysis (Mathematics) Functions of complex variables Analysis Functions of a Complex Variable Mathematik Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4123623-3 |
| title | Complex Analysis |
| title_auth | Complex Analysis |
| title_exact_search | Complex Analysis |
| title_full | Complex Analysis by John M. Howie |
| title_fullStr | Complex Analysis by John M. Howie |
| title_full_unstemmed | Complex Analysis by John M. Howie |
| title_short | Complex Analysis |
| title_sort | complex analysis |
| topic | Mathematics Global analysis (Mathematics) Functions of complex variables Analysis Functions of a Complex Variable Mathematik Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Functions of complex variables Analysis Functions of a Complex Variable Mathematik Funktionentheorie Lehrbuch |
| url | https://doi.org/10.1007/978-1-4471-0027-0 |
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