Projects and Assignments in Pure Mathematics

Advanced complex analysis

This project carries on from the MATH 2021 Complex Analysis module, and studies more advanced topics in Complex Analysis. These could include analytic continuation, periodic and doubly periodic functions, the Riemann mapping theorem, Runge's approximation theorem, and the basic theory of Riemann surfaces.

Books

A.F. Beardon, A primer on Riemann surfaces, C.U.P. (1984).
J.B. Conway, Functions of one complex variable, Springer (1973).

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