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.

Download or read it online for free here:
Download link
(2.7MB, PDF)

Similar books

Book cover: Lectures on Entire FunctionsLectures on Entire Functions
by - American Mathematical Society
This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order.
(9525 views)
Book cover: Lectures on Modular Functions of One Complex VariableLectures on Modular Functions of One Complex Variable
by - Tata institute of Fundamental Research
This is an elementary introduction to the theory of modular functions and modular forms. Basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions are the only prerequisites.
(4401 views)
Book cover: Functions Of A Complex Variable with ApplicationsFunctions Of A Complex Variable with Applications
by - Oliver And Boyd
This book is concerned essentially with the application of the methods of the differential and integral calculus to complex numbers. Limitations of space made it necessary for me to confine myself to the more essential aspects of the theory ...
(2012 views)
Book cover: The Elementary Properties of the Elliptic FunctionsThe Elementary Properties of the Elliptic Functions
by - Macmillan
This textbook will supply the wants of those students who, for reasons connected with examinations or otherwise, wish to have a knowledge of the elements of Elliptic Functions, not including the Theory of Transformations and the Theta Functions.
(2908 views)