Mathematics Books Mathematical-Analysis BooksComplex Analysis Books

Complex Variables A Physical Approach

Complex Variables A Physical Approach

Complex Variables A Physical Approach

This text will illustrate and teach all facets of the subject in a lively manner that will speak to the needs of modern students. It will give them a powerful toolkit for future work in the mathematical sciences, and will also point to new directions for additional learning. Topics covered includes: The Relationship of Holomorphic and Harmonic Functions, The Cauchy Theory, Applications of the Cauchy Theory, Isolated Singularities and Laurent Series, The Argument Principle, The Geometric Theory of Holomorphic Functions, Applications That Depend on Conformal Mapping, Transform Theory.

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s437 Pages
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This note covers the following topics: Holomorphic functions, Contour integrals and primitives, The theorems of Cauchy, Applications of Cauchyís integral formula, Argument. Logarithm, Powers, Zeros and isolated singularities, The calculus of residues, The maximum modulus principle, Mobius transformations.

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