This book was used for my undergraduate complex analysis course. I struggled with the author's lack of clarity and ended up getting a B. Then just last month I picked up a more formal treatment of the subject--Serge Lange's Complex Analysis--and felt like I learned more in one week than I did in a whole semester with Gamelin.

Short of providing formal proofs, the text does not even provide definitions. For example, the meaning of "homotopy", which can be made mathematically rigorous, is left totally to intuition. For a student accustomed to the definition-theorem-proof structure, this text can be extremely frustrating.

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