Lectures on Holomorphic Functions of Several Complex Variables
by Piotr Jakobczak, Marek Jarnicki
Publisher: Jagiellonian University 2001
Number of pages: 149
Description:
The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, subharmonic and plurisubharmonic functions, pseudoconvexity, etc. The reader is required to be familiar with elements of classical real analysis and complex analysis of one variable.
Download or read it online for free here:
Download link
(3.5MB, PDF)
Similar books
Complex Analysis on Riemann Surfacesby Curtis McMullen - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(14718 views)
Complex Analysisby George Cain
The textbook for an introductory course in complex analysis. It covers complex numbers and functions, integration, Cauchy's theorem, harmonic functions, Taylor and Laurent series, poles and residues, argument principle, and more.
(16942 views)
A First Course in Complex Analysisby M. Beck, G. Marchesi, D. Pixton - San Francisco State University
These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.
(40373 views)
Complex Variables with Applicationsby Jeremy Orloff - LibreTexts
Complex analysis is a basic tool in many mathematical theories. There are a small number of far-reaching theorems that we'll explore in the first part of the class. We'll touch on some mathematical and engineering applications of these theorems.
(4561 views)