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graphs of the result of complex addition, multiplication, division, and addition We will begin with a brief study of the geometry of complex numbers. The bulk of the course will be a detailed treatment of the Cauchy theory of analytic functions of a complex variable: integration and Cauchy's theorem, power series, residue calculus, conformal mapping, and harmonic functions. Various applications are given, and other topics—such as elliptic functions, analytic continuation, and the theory of Weierstrass—may be discussed.


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Last modified: 2007-12-24 13:30:14 by Thomas Hunter.