Complex variables with applications / S. Ponnusamy, Herb Silverman.
"Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as...
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
[2006]
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| Subjects: | |
| Online Access: | Springer eBooks |
Table of Contents:
- Preface
- Algebraic and geometric preliminaries
- Topological and analytic preliminaries
- Bilinear transformations and mappings
- Elementary functions
- Analytic functions
- Power series
- Complex integration and Cauchy's theorem
- Applications of Cauchy's theorem
- Laurent series and the residue theorem
- Harmonic functions
- Conformal mapping and the Riemann mapping theorem
- Entire and meromorphic functions
- Analytic continuation.