Introduction to Complex Analysis

Suitable for a one year course in complex analysis, at the advanced undergraduate or graduate level, this is a pretty good introduction to the subject, with well-written, detailed proofs and lots of exercises. If you take the time to work the exercises, you will learn the subject, and you will learn it well, and if you have trouble with some of them, you can look in the back for answers, though if you have this as a textbook, your professor will probably assign problems whose solutions are not in the book. The chapter on Cauchy's integral theorem is particularly good, describing the material in detail and providing a nice illustration of homotopy of curves. Studied dutifully, this can help a student through one of the thornier areas of the subject, often an area that trips those new to complex analysis. That alone could make the book worth the price. This is, though, only an introduction, and a student hoping to cover more advanced material is urged to consider William Veech's "A Second Course in Complex Analysis" or some other books suitable for that purpose.