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: Lectures on Stratification of Complex Analytic SetsLectures on Stratification of Complex Analytic Sets
by - Tata Institute of Fundamental Research
Contents: Preliminaries; Some theorems on stratification; Whitney's Theorems (Tangent Cones, Wings, The singular set Sa); Whitney Stratifications and pseudofibre bundles (Pseudo fibre spaces, Obstructions in pseudo-fibrations, etc.).
(8577 views)
Book cover: Complex Integration and Cauchy's TheoremComplex Integration and Cauchy's Theorem
by - Cambridge University Press
This brief monograph offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications ...
(9047 views)
Book cover: Hyperbolic FunctionsHyperbolic Functions
by - John Wiley & Sons
College students who wish to know something of the hyperbolic trigonometry, will find it presented in a simple and comprehensive way in the first half of the work. Readers are then introduced to the more general trigonometry of the complex plane.
(13205 views)
Book cover: A First Course in Complex AnalysisA First Course in Complex Analysis
by - San Francisco State University
These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.
(39725 views)