Math 722: Complex Analysis Spring Semester 2012
نویسندگان
چکیده
1) Complex Analysis by Lars V. Ahlfors, Third Edition, McGraw-Hill, (QA331 A45 1979) This is a standard text, written by a winner of the Fields medal. 2) Analytic Function Theory by Einar Hille, Volume I and II, Chelsea Publishing Company, (QA331 H54 1973) The second volume especially has discussions of a number of interesting topics. 3) (a) Elements of the Theory of Functions by Konrad Knopp, Dover, (QA331 K6814) (b) Theory of Functions, Parts I and II, by Konrad Knopp, Dover, (QA331 K713) (c) Problem Book in the Theory of Functions, Volumes I and II, Dover, (QA331 K663) These books give a concise (and inexpensive) introduction to complex analysis. The Problem Book is a good source of exercises, with answers. 4) Complex Analysis in One Variables by Raghavan Narasimhan, Birkhauser, (QA331 N27 1985) This book presents the subject from a modern point of view. It includes a differentialgeometric proof of Picard’s ‘big theorem’. 5) Analytic Functions by Stanislaw Saks and Antoni Zygmund, Polich Scientific Publishers, (QA331 S315 1971) This is an elegant, classical introduction to the subject. 6) Complex Analysis by Elias M. Stein and Rami Shakarchi, Princeton University Press, (QA331 S74 2003) This is part of a four-volume introduction to analysis for ‘Princeton undergraduates’. Much of the focus is on applications to number theory. 7) The Theory of Functions by E.C. Titchmarsh, Oxford University Press, (QA331 T5) This is another elegant classic.
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