Functions of a Complex Variable (Phoenix Edition)

Developed from a highly successful series of lectures given at Yale University, this volume has a reputation as one of the best texts in its field. A thorough treatment of the fundamental elements, concepts, and theorems pertaining to the function of a complex variable, it offers a complete study, suitable for advanced mathematics students, physicists, and advanced engineers.Students of applied mathematics will particularly value the full exposition of the theory of linear differential equations, especially in regard to the functions of Legendre, Laplace, Bessel, and Lamé. Three chapters are devoted to elliptic functions, explaining both their intrinsic value and their role as splendid applications of function theory. Rigorous and detailed in its treatment, this text features carefully selected and completely worked-out problems that illustrate each topic.