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Elementary Theory of Analytic Functions of One or Several Complex Variables



Elementary Theory of Analytic Functions of One or Several Complex Variables
This book is a basic treatment of the 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. It also includes a systematic, though elementary, exposition of the theory of abstract complex manifolds of one complex dimension. more details
Key Features:
  • A systematic, though elementary, exposition of the theory of abstract complex manifolds of one complex dimension
  • A treatment of analytic functions of a complex variable, including functions of several real or complex variables
  • The existence theorem for solutions of differential systems where data is analytic


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Features
Author Henri Cartan
Format Paperback
ISBN 9780486685434
Publisher Dover Publications
Manufacturer Dover Publications
Description
This book is a basic treatment of the 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. It also includes a systematic, though elementary, exposition of the theory of abstract complex manifolds of one complex dimension.

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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