Elementary Theory of Analytic Functions of One Or Several Complex VariablesCourier Corporation, 1995 M01 1 - 226 páginas Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a systematic, though elementary, exposition of theory of abstract complex manifolds of one complex dimension. Topics include power series in one variable, holomorphic functions, Cauchy’s integral, more. Exercises. 1973 edition. |
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Elementary Theory of Analytic Functions of One or Several Complex Variables Henri Cartan Vista previa limitada - 2013 |
Elementary Theory of Analytic Functions of One Or Several Complex Variables Henri Cartan Vista de fragmentos - 1973 |
Elementary Theory of Analytic Functions of One Or Several Complex Variables Henri Cartan Vista de fragmentos - 1963 |
Términos y frases comunes
analytic functions apply boundary bounded branch centre chapter circle closed path compact compact subsets complex complex manifold complex variable condition connected open set consequently consider constant contained continuous function coordinate covers deduce defined Definition denotes derivative described disc equal equation example exists expressed extended finite first follows formal formal series formula function f given gives half-plane Hence holomorphic function infinity integral inverse isomorphism lemma Let f limit mapping mean meromorphic function Moreover multiplicity necessary neighbourhood Note obtain origin particular periods plane pole positive power series primitive principle problem proposition proved radius of convergence rectangle relation residue respect Riemann surface satisfies sense sequence simple solution space structure suflicient suppose tends term theorem theory topology transformation uniformly unique unit zero