Chaos and Chance

An Introduction to Stochastic Aspects of Dynamics
1. Auflage 2001
ISBN: 978-3-11-016990-4
Verlag: De Gruyter

Buch, Englisch, 245 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 441 g

Reihe: De Gruyter Textbook

With emphasis on stochastic aspects of deterministic systems this short book introduces the reader to the basic facts and some special topics of applied ergodic theory. It adresses advanced undergraduate and graduate students from various disciplines, i.e. mathematicians, physicists, electrical and mechanical engineers. Based upon a sound (but non-technical) mathematical introduction, a number of typical examples from applications (mostly from mechanics) are thoroughly discussed. By studying both probabilistic and deterministic features of dynamical systems the reader will develop what might be considered a unified view on chaos and chance as two sides of the same thing.

Zielgruppe

Advanced Undergraduate and Graduate Students in Mathematics, Physics and Engineering

Autoren/Hrsg.

Berger, Arno

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Naturwissenschaften Astronomie Astrophysik
• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

Introduction ? Basic aspects of discrete dynamical systems ? Ergodic theory I - Foundations ? Ergodic theory II - Applications ? The dynamical evolution of measures

Über Autor(innen)

Arno Berger is a Lecturer in Mathematics at the University of Canterbury in Christchurch, New Zealand. He has held positions in Austria, Germany, Great Britain and the United States.