Titlebook: Complex Analysis; In the Spirit of Lip Rubí E. Rodríguez,Irwin Kra,Jane P. Gilman Textbook 2013Latest edition Springer Science+Business Med

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The Cauchy Theory: A Fundamental Theorem, and extending results from the theory for real-valued functions of a real variable, but again the resulting theory is substantially different, more robust, and more elegant. Specifically, a curve or path γ in . is a continuous . from a closed interval in . to .. Thus the restriction of a complex-va

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Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions, describe a classification for isolated singularities. Functions that are holomorphic on an annulus have . expansions, an analogue of power series expansions for holomorphic functions on discs. Holomorphic functions with a finite number of isolated singularities in a domain can be integrated using t

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