Logo

Dynamics in One Complex Variable

Large book cover: Dynamics in One Complex Variable

Dynamics in One Complex Variable
by

Publisher: Princeton University Press
ISBN/ASIN: 0691124884
ISBN-13: 9780691124889
Number of pages: 146

Description:
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology.

Home page url

Download or read it online for free here:
Download link
(1.1MB, PDF)

Similar books

Book cover: Complex AnalysisComplex Analysis
by - Kobenhavns Universitet
Contents: Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
(944 views)
Book cover: Lectures on The Riemann Zeta-FunctionLectures on The Riemann Zeta-Function
by - Tata Institute of Fundamental Research
These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.
(6879 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.
(2811 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.
(4316 views)