Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11)

I find myself in the strange position of defending a classic text which has been widely used for several decades. I find the book to be superbly organized and written. It is the text I used in graduate school, and I have used it on at least two occasions when teaching a second course in complex analysis. My students never shared any complaints with me, and it has been my favorite complex analysis text for over 3 decades.I'd conjecture that Professor Conway couldn't care less that a few low-ball ratings here of his text have brought the average rating score down far from where it would otherwise be, but for some reason it does bother me.

Functions of One Complex Variable Vol. I is a well-organized textbook preseting basic principles and concepts of Complex Analysis. The text is full of examples, which helps a lot the reader to consolidate some notions and aspects of the theory. Moreover, Conway invited the reader to explore further the results presented through a vast number of exercises in the end of each section. Personally, I only have one bad comment: the exercises do not have many comments or hints. This is very unappealing for the self-taught student of other fields, such as Engineering or Physics.

Nicely done. Proofs are clear and detailed. the section on covering spaces and monodromy were well done. Conway goes beyond Ahlfoir's excellent classic text in terms of material and sophistication of techniques. However, some important topics, such as modular functions, the Weierstrauss P-function and elliptic functions/curves are omitted from this and vol. II. The treatment of the Mobius group and non-Euclidean geometry is bare-bones, so you'll have to look elsewhere. Supplement this text with Tristam's outstanding Visual Complex Analysis for a full tour de force of the beauty of complex analysis.

Bought this a parting gift for a friend of mine.

Great book, also note it's not John Horton Conway, different Conway.

It is a good book and I am using it everyday for my complex analysis class.

quedé muy satisfecho con todo el proceso, inicialmente tenía desconfinza con lo de la tarjeta de crédito pero me pareció muy serio y confiable todo. Gracias.

Seems good so far.Conway is an absolute madman with notation, though.