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Complex Analysis
Fall 2005 - Spring 2006

Course Overview:

The goal of the first semester of this course is to give students a solid grounding in the fundamentals of analytic functions of one complex variable, complemented by the study of particular functions (such as Euler's Gamma function, Riemann's theta and zeta functions, and elliptic functions) and their applications to other fields. If time permits we will also discuss the most basic facts about functions of several complex variables. The second semester will be devoted entirely to Riemann surfaces. Although no prior exposure to complex analysis will be assumed, students without any such exposure may find the pace gruelling


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