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Begins with an introduction to the theory of functions of a complex variable, covers complex numbers and their properties, analytic functions and the Cauchy–Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem, the residue theorem, and definite integrals. Definitions and proofs are discussed as are applications to physics and engineering.
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Keywords
- Analytic functions
- Calculus & mathematical analysis
- Complex analysis
- complex integration
- complex variables
- Mathematics
- Mathematics & science
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
Links
DOI: 10.1515/9783110796810Editions