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 automorphism b₁ branch of log centre chapter circle closed disc closed path coefficients compact subsets completes the proof complex manifold complex manifold structure complex number complex variable connected open set consider constant contained continuous function converges normally converges uniformly coordinate deduce Definition denotes derivative equal exists finite number follows formal power series formal series function ƒ ƒ and g half-plane harmonic function holo holomorphic function holomorphic mapping homeomorphism identically zero infinite inverse isomorphism lemma Let f maximum modulus principle meromorphic function necessary and sufficient neighbourhood normally convergent open disc oriented boundary point at infinity pole polynomial power series expansion primitive proposition proved radius of convergence real axis real number rectangle relation residue Riemann sphere Riemann surface right hand side satisfies sequence simple simply connected space sufficiently small tends theory topology transformation unit disc