Logo

Introduction to Complex Analysis

Small book cover: Introduction to Complex Analysis

Introduction to Complex Analysis
by

Publisher: Macquarie University
Number of pages: 194

Description:
A set of notes suitable for an introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series, uniqueness and the maximum principle; isolated singularities and Laurent series; Cauchy's integral theorem revisited; residue theory; evaluation of definite integrals; harmonic functions and conformal mappings; Möbius transformations; Schwarz-Christoffel transformations; uniform convergence.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Complex AnalysisComplex Analysis
by
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.
(18193 views)
Book cover: Calculus of Residua: Complex Functions Theory a-2Calculus of Residua: Complex Functions Theory a-2
by - BookBoon
This is the second part in the series of books on complex functions theory. From the table of contents: Introduction; Power Series; Harmonic Functions; Laurent Series and Residua; Applications of the Calculus of Residua; Index.
(13023 views)
Book cover: Lectures on Riemann MatricesLectures on Riemann Matrices
by - Tata Institute of Fundamental Research
A systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; etc.
(11533 views)
Book cover: Theory of Functions of a Complex VariableTheory of Functions of a Complex Variable
by - D. C. Heath
Contents: Complex numbers and their geometrical representation; Rational functions of a complex variable; Theory of real variables and their functions; Single-valued analytic functions of a complex variable; General theory of functions; etc.
(6363 views)