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Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on Mathematics)

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Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on Mathematics)

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, Cauchyâ€™s integral, more. Exercises. 1973 edition.