Complex Analysis
by C. McMullen
Publisher: Harvard University 2010
Number of pages: 106
Description:
This course covers some basic material on both the geometric and analytic aspects of complex analysis in one variable. Prerequisites: Background in real analysis and basic differential topology (such as covering spaces and differential forms), and a first course in complex analysis.
Download or read it online for free here:
Download link
(810KB, PDF)
Similar books
Methods for Finding Zeros in Polynomialsby Leif Mejlbro - BookBoon
Polynomials are the first class of functions that the student meets. Therefore, one may think that they are easy to handle. They are not in general! Topics as e.g. finding roots in a polynomial and the winding number are illustrated.
(11876 views)
Notes on Automorphic Functionsby Anders Thorup - Kobenhavns Universitet
In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. From the contents: Moebius transformations; Discrete subgroups; Modular groups; Automorphic forms; Poincare Series and Eisenstein Series.
(13514 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.
(10873 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.
(11239 views)