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    University of Florida
   
 
  Dec 16, 2017
 
 
    
2011-2012 Graduate Catalog [ARCHIVED CATALOG/PREVIOUS EDITION]

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MAA 6406: Complex Analysis I


Credits: 3                    Grading Scheme: Letter

Prerequisite: MAA 5229 .      

Rapid survey of properties of complex numbers, linear transformations, geometric forms and necessary concepts from topology. Complex integration. Cauchy’s theorem and its corollaries. Taylor series and the implicit function theorem in complex form. Conformality and the Riemann-Caratheodory mapping theorem. Theorems of Bloch, Schottky, and the big and little theorems of Picard. Harmonicity and Dirichlet’s problems.



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