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Lectures on the Theory of Functions of a Complex Variable, Vol. 1: Holomorphic Functions by Giovanni Sansone, Johan C. H. Gerretsen is a nonfiction available to read on EtoBox.

What is Lectures on the Theory of Functions of a Complex Variable, Vol. 1: Holomorphic Functions about?

Title Chapter 1 HOLOMORPHIC FUNCTIONSPOWER SERIES AS HOLOMORPHIC FUNCTIONS ELEMENTARY FUNCTIONS 1.1 The complex plane 1.2 Continuous functions 1.3 Holomorphic functions 1.4 Conjugate functions 1.5 Sequences of functions 1.6 Power Series 1.7 The power series as a holomorphic function 1.8 The theorems of Picard and Abel 1.9 The A-summability of a series. Tauber’s theorem 1.10 The exponential, circular and hyperbolic functions 1.11 The logarithm and the power 1.12 The inverse circular and hyperbolic functions Chapter 2 CAUCHY’S INTEGRAL THEOREM AND ITS COROLLARIES - EXPANSION IN TAYLOR SERIES 2.1 Chains and cycles 2.2 The connectivity of a region 2.3 The line integral of a complex function 2.4 Properties of the line integrals of complex functions 2.5 Cauchy’s integral theorem 2.6 The fundamental theorem of algebra 2.7 Cauchy’s integral formula 2.8 Formula for the derivative. Riemann’s theorem 2.9 Differentiation inside the sign of integration 2.10 Morera’s theorem 2.11 Zeros of a holomorphic function 2.12 The Cauchy-Liouville theorem 2.13 The maximum modulus theorem 2.14 Real parts of holomorphic functions 2.15 Representation of a holomorphic function by its real part 2.16 The Taylor

Who reads Lectures on the Theory of Functions of a Complex Variable, Vol. 1: Holomorphic Functions?

Author

Giovanni Sansone, Johan C. H. Gerretsen

Publisher

P. Noordhoff

Published

1960

Language

EN

Category

nonfiction

Subjects

Mathematics, Stem