Functions of a Complex Variable, Vol. 3 (Classic Reprint)

A clear, authoritative guide to the theory of complex variables, with practical paths from fundamentals to advanced topics. This edition helps readers see how complex analysis informs problems in math and physics.

The book presents core ideas in a steady, student-friendly way. It covers analytic functions, power and Fourier series, and the geometry of mappings, then moves to applications in differential equations and elliptic functions. Throughout, the presentation emphasizes methods, proofs, and the structure of the subject, making it suitable for a first course or as a reliable reference for more advanced study.

What you will experience

• Foundations of analytic functions, Cauchy’s and Laurent’s ideas, and zero-pole analysis


• Power series, convergence tests, and the behavior of complex functions


• Techniques for differentiation, integration, and inversion of series


• Introductions to elliptic functions and related applications in physics

Ideal for readers of mathematics, physics, and engineering who want a rigorous, accessible treatment of functions of a complex variable and their applications.