Author: E. T. Copson
An Introduction to the Theory of Functions of a Complex Variable by E. T. Copson is a classic textbook first published in 1935 by Clarendon Press, Oxford. It provides a rigorous yet accessible introduction to complex analysis, beginning with complex numbers and progressing through key topics like analytic functions, Cauchy’s theorem, contour integration, and Taylor and Laurent series. The book also covers advanced areas such as the Gamma function, Bessel functions, and elliptic functions, offering a strong foundation for further study in mathematical physics or pure mathematics. Copson’s clear exposition and structured approach make it suitable for advanced undergraduates and early graduate students. It emphasizes both theoretical development and practical applications. Known for its precision and depth, the book remains a valuable reference for anyone studying or working in complex analysis.