Complex analysis is a classic and central area of mathematics, which is studies and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much-awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter.
A concise and well structured introduction to complex analysis with many examples. Some theorems are repeated and unclearly stated such as the deformation theorem which starts for a triangle and is then generalized. Some pictures and proofs are not explained and too many are left to the reader, making some chapters more of an annotated exposition of facts rather than an exploration of the deep insights and uses of the theorems in complex analysis. Overall: not the best introductory textbook, but probably enough for reviewing the main theorems and concisely getting up to speed with the subject.