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. " Review from previous edition Priestley's book is an unqualified success."-- THES "The conciseness of the text is one of its many good features"-- Chris Ridler-Rowe, Imperial College "The conciseness of the text is one of its many good features"-- Chris Ridler-Rowe, Imperial College H. A. Priestley is a Reader in Mathematics, Mathematical Institute, Oxford, and Fellow and Tutor in Mathematics at St Anne's College.