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411 REFERENCE · Wikibooks

Complex Analysis

Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.

Complex differentiability and the Cauchy‒Riemann equations Contour integration /Cauchy's theorem and Cauchy's integral formula/ /Local theory of holomorphic functions/ /Elementary functions/ /The complex projective line and automorphisms of standard sets/ /The invariant metric of the unit disk/ /Extremum principles, open mapping theorem, Schwarz' lemma/ /Global theory of holomorphic functions/ /Meromorphic functions and the Riemann sphere/ /Complex-analytic methods for the computation of real integrals and series/ /Infinite products and factorisations/ /Elliptic functions/ /Modular forms/ /Dirichlet series and the Gamma function/ /Tauberian theorems/ /Analytic spaces and the ring of convergent power series/ /Julia sets and the Mandelbrot set/ /Bibliography/ Mathematical analysis University level mathematics books ja:複素解析学 pt:Análise complexa 0%