Chaos and Chance

An Introduction to Stochastic Aspects of Dynamics

Arno Berger (Autor)

Buch | Softcover

X, 245 Seiten

2001
De Gruyter (Verlag)
978-3-11-016990-4 (ISBN)

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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.

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.

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

Erscheint lt. Verlag	16.10.2001
Reihe/Serie	De Gruyter Textbook
Zusatzinfo	Num. figs.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	438 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Aspect • Chaos • Chaos (Math.) • Chaostheorie • Chaotic behavior in systems • Chaotisches System • Differentiable dynamical systems • Dynamical system • Dynamical Systems • Dynamics • Dynamisches System • Dynamisches System (Math.) • Dynamische Systeme • Engine • engineer • Ergodentheorie • ergodic theory • Ergodisches Theorem • HC/Mathematik/Sonstiges • Markowsche Kette • Mathematics • Mechanics • Nichtlineares dynamisches System • Prozess • Sound • Stochastik • Stochastischer Prozess • System • Taschenbuch / Mathematik/Allgemeines, Lexika • TB/Mathematik/Allgemeines, Lexika • Verzweigung (Math.)
ISBN-10	3-11-016990-8 / 3110169908
ISBN-13	978-3-11-016990-4 / 9783110169904
Zustand	Neuware