Complex analysis is a classic and central area of mathematics, which is studied 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 setshave been substantially revised and enlarged, with carefully graded exercises at the end of each chapter.This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which Discrete Mathematics 2nd Edition, Introduction to Algebra, Visual Complex Analysis, Kaye and Linear Algebra, Elementary Fluid Dynamics, Jordan and Nonlinear Ordinary Differential Equations, Numerical Solution of Partial Differential Equations, Graphs, Colourings and the Four-Colour Theorem, Neural Networks forPattern Recognition, Gelman and Teaching Statistics.
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.