Complex Variables with Applications
by Jeremy Orloff
Publisher: LibreTexts 2021
Number of pages: 289
Description:
Complex analysis is a basic tool in many mathematical theories. By itself and through some of these theories it also has a great many practical applications. There are a small number of far-reaching theorems that we'll explore in the first part of the class. Along the way, we'll touch on some mathematical and engineering applications of these theorems.
Download or read it online for free here:
Download link
(29MB, 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.
(12785 views)
Lectures on the Theory of Algebraic Functions of One Variableby M. Deuring - Tata Institute of Fundamental Research
We shall be dealing in these lectures with the algebraic aspects of the theory of algebraic functions of one variable. Since an algebraic function w(z) is defined by f(z,w)=0, the study of such functions should be possible by algebraic methods.
(8126 views)
Lectures on Holomorphic Functions of Several Complex Variablesby Piotr Jakobczak, Marek Jarnicki - Jagiellonian University
The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc. Prerequisites are real analysis and complex analysis of one variable.
(6066 views)
Elements of the Theory of Functions of a Complex Variableby G.E. Fisher, I.J. Schwatt - Philadelphia G.E. Fisher
Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; General properties of functions; Infinite and infinitesimal values of functions; etc.
(6714 views)