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Title: excellent, rigorous work
Review: I was amazed by this book. In a small amount of space, it manages to present most of the important theoretical aspects of complex analysis, and rigorously, so you get all the detailed proofs. However, the book isn't big on applications, so you might consider getting an applied text to supplement this one. Also, the book is quite advanced. Some background in advanced calculus (Widder's book works great) would help you make more sense of the text. I read this after I learned applied compl. analysis, so I can't really judge this book as an introduction to the field, but for someone who is familiar with the essentials of complex analysis, this is an excellent theoretical supplement.
