Publisher's Synopsis
This comprehensive textbook on Complex Analysis was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the subject in a manner he described as both sketchy and incomplete. In writing Complex Analysis, the author had the goal in mind of writing the greatest textbook that has ever been written on the subject. Generations of teachers and students have benefitted from Dempsey's thorough presentations and concise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines complex numbers, differentiation, examples of functions, complex integration, consequences of Cauchy's theorem, harmonic functions, power series, Taylor and Laurent Series, isolated singularities and the residue theorem, discrete applications of the residue theorem and more.
