This book provides a comprehensive introduction to complex
variable theory and its applications to current engineering
problems and is designed to make the fundamentals of the subject
more easily accessible to readers who have little inclination to
wade through the rigors of the axiomatic approach. Modeled after
standard calculus books--both in level of exposition and layout--it
incorporates physical applications throughout, so that the
mathematical methodology appears less sterile to engineers. It
makes frequent use of analogies from elementary calculus or algebra
to introduce complex concepts, includes fully worked examples, and
provides a dual heuristic/analytic discussion of all topics. A
downloadable MATLAB toolbox--a state-of-the-art computer aid--is
available. KEY TOPICS: Complex Numbers. Analytic Functions.
Elementary Functions. Complex Integration. Series Representations
for Analytic Functions. Residue Theory. Conformal Mapping. The
Transforms of Applied Mathematics. MATLAB ToolBox for Visualization
of Conformal Maps. Numerical Construction of Conformal Maps. Table
of Conformal Mappings. Features coverage of Julia Sets; modern
exposition of the use of complex numbers in linear analysis (e.g.,
AC circuits, kinematics, signal processing); applications of
complex algebra in celestial mechanics and gear kinematics; and an
introduction to Cauchy integrals and the Sokhotskyi-Plemeij
formulas. MARKET: For mathematicians and engineers
interested in Complex Analysis and Mathematical Physics.

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From the Publisher

This book provides a comprehensive introduction to complex variable theory and its applications. The Second Edition features a revised and up-dated presentation that reflects contemporary theories and their applications to current engineering problems.

From the Back Cover

This book provides a comprehensive introduction to complex variable theory and its applications to current engineering problems and is designed to make the fundamentals of the subject more easily accessible to readers who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout, so that the mathematical methodology appears less sterile to engineers. It makes frequent use of analogies from elementary calculus or algebra to introduce complex concepts, includes fully worked examples, and provides a dual heuristic/analytic discussion of all topics. A downloadable MATLAB toolbox--a state-of-the-art computer aid--is available. Complex Numbers. Analytic Functions. Elementary Functions. Complex Integration. Series Representations for Analytic Functions. Residue Theory. Conformal Mapping. The Transforms of Applied Mathematics. MATLAB ToolBox for Visualization of Conformal Maps. Numerical Construction of Conformal Maps. Table of Conformal Mappings. Features coverage of Julia Sets; modern exposition of the use of complex numbers in linear analysis (e.g., AC circuits, kinematics, signal processing); applications of complex algebra in celestial mechanics and gear kinematics; and an introduction to Cauchy integrals and the Sokhotskyi-Plemeij formulas. For mathematicians and engineers interested in Complex Analysis and Mathematical Physics.