Trim D. Introduction to Complex Analysis and Its Applications 1996

Textbook in PDF format

Complex Analysis is for undergraduate students in science and engineering. It can be used in one-semester or two-semester courses. The presentation assumes a working knowledge of single-variable real calculus, including infinite series, and familiarity with partial differentiation and line integrals. Discussions are rigorous, but the approach is intuitive.
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Complex Numbers
Complex Functions and Their Derivatives
Elementary Complex Functions
Complex Integrals
Power Series and Laurent Series
Residue Theory
Conformal Mapping
Laplace Transforms