
Introduction to Complex Analysis
by W W L Chen
Publisher: Macquarie University 2003
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
(multiple PDF files)
Similar books
Topics in Complex Analysisby Dan Romik - De Gruyter
This is a graduate-level textbook that provides an in-depth and readable exposition of selected topics in complex analysis. It covers both standard theory and advanced topics, with a focus on applications to geometry and number theory.
(1411 views)
Stability, Riemann Surfaces, Conformal Mappings: Complex Functions Theory a-3by Leif Mejlbro - BookBoon
The book on complex functions theory. From the table of contents: Introduction; The argument principle, and criteria of stability; Many-valued functions and Riemann surfaces; Conformal mappings and the Dirichlet problem; Index.
(11705 views)
Lectures on the Mean-Value and Omega Theorems for the Riemann Zeta-Functionby K. Ramachandra - 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.
(10913 views)
Computing of the Complex Variable Functionsby Solomon I. Khmelnik, Inna S. Doubson - MiC
Hardware algorithms for computing of all elementary complex variable functions are proposed. Contents: A method 'digit-by-digit'; Decomposition; Compositions; Two-step-by-step operations; Taking the logarithm; Potentiation; and more.
(11302 views)