COMPLEX FUNCTION THEORY

The basics of complex functions will be explained for students of Engineering Sciences, with the aim of being able to use 'complex function theory' as a tool. The goal is not rigor as mathematics, but ease of use that may suit the application. Explanations are based on concrete examples rather than abstract general theory. The book starts from very beginning of complex numbers, and extends theory of Introduction to Elliptic Function and Hypergeometric Differential Equations.

Contents:
PrefaceComplex Numbers and FunctionsComplex Functions and HolomorphicElementary FunctionsConformal TransformationSingularitiesComplex IntegralsCauchy's Integral Formula and Power Series Expansion of Complex FunctionsAdvanced Complex IntegralsAnalytic Continuation and Riemann SurfaceMeromorphic FunctionsElliptic Integrals and Elliptic FunctionsOrdinary Differential Equations of Complex VariablesOrthogonal PolynomialsFunctions Written With Hypergeometric FunctionsFunctions Written With Confluent Hypergeometric FunctionsBibliographyIndex
Readership: Undergraduate students majoring in engineering and other mathematical sciences.

Key Features: The goal of the Book is not rigor as mathematics, but ease of use that may suit the application. Explanations are based on concrete examples rather than abstract general theory