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Theory of Functions of a Complex Variable I


Cauchy's theorem and contour integration; the argument principle; maximum modulus principle; Schwarz symmetry principle; analytic continuation; monodromy theorem; applications to the gamma function and Riemann's zeta function; entire and meromorphic functions; conformal mapping; Riemann mapping theorem; univalent functions.


Complex Analysis, Ahlfors, McGraw-Hill.


MATH 766 or concurrent.

Credit Hours: 


  1. Complex Numbers
  2. Complex Functions
  3. Analytic functions as mappings
  4. Complex Integration
  5. Series Development
  6. Additional Topics

(Sheu 2006 )

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