Complex Analysis for Mathematics and Engineering

Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of complex analysis. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. Believing that mathematicians, engineers, and scientists should be exposed to a careful presentation of mathematics, the authors devote attention to important topics such as ensuring that required assumptions are met before using a theorem, confirming that algebraic operations are valid, and checking that formulas are not blindly applied.

Chapter1 Complex Numbers
Chapter2 Complex Functions
Chapter3 Analytic and Harmonic Functions
Chapter4 Sequences, Julia and Mandelbrot Sets, and Power Series
Chapter5 Elementary Functions
Chapter6 Complex Integration
Chapter7 Taylor and Laurent Series
Chapter8 Residue Theory
Chapter9 z-Transforms and Applications
Chapter10 Conformal Mapping
Chapter11 Applications of Harmonic Functions
Chapter12 Fourier Series and the Laplace Transform