Theory of Functions Part 1: Elements of the General Theory of Analytical Functions

Translated from the fifth German edition by Frederic Bagemithl. Numbers and Points. Functions of a Complex Variable. The Integral of a Continuous Function. Cauchy's Integral Theorem. Cauchy's Integral Formulas. Series with Variable Terms. The Expansion of Analytic Functions in Power Series. Analytic Continuation and Complete Definition of "Analytic Functions. Entire Transcendental Functions. The Laurent Equation. The Various Types of Singularities. Bibliography. Index.