Description
Complex Variables and Applications provides an introduction to the theory and applications of functions of a complex variable. The book develops the complex number system, analytic functions, elementary functions, contour integrals, power series, residues and poles, and applications of residues. It also examines mappings by elementary functions, conformal mappings, the Schwarz-Christoffel transformation, and integral formulas of the Poisson type. Particular emphasis is placed on applications of residues and conformal mappings, with explanations designed to accommodate students with different backgrounds in calculus. Through theoretical development, examples, and applications, the book provides a foundation in complex analysis for students in mathematics, engineering, physics, and related disciplines.
