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: Elementary Complex AnalysisElementary Complex Analysis
by
This book on complex analysis is basically a collection of solved problems with a rather modest theoretical background presented in the main text and hence it is largely based on the method of 'learning by example and practice'.
(878 views)
Book cover: Lectures On The General Theory Of Integral FunctionsLectures On The General Theory Of Integral Functions
by - Chelsea Pub. Co.
These lectures give us, in the form of a number of elegant and illuminating theorems, the latest word of mathematical science on the subject of Integral Functions. They descend to details, they take us into the workshop of the working mathematician.
(8969 views)
Book cover: Lectures on the Mean-Value and Omega Theorems for the Riemann Zeta-FunctionLectures on the Mean-Value and Omega Theorems for the Riemann Zeta-Function
by - Tata Institute of Fundamental Research
This short book is a text on the mean-value and omega theorems for the Riemann Zeta-function. The author includes discussion of some fundamental theorems on Titchmarsh series and applications, and Titchmarsh's Phenomenon.
(11087 views)
Book cover: Dynamics in One Complex VariableDynamics in One Complex Variable
by - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(19044 views)