First Course in Dynamics With a Panorama of Recent Developments

Name: First Course in Dynamics With a Panorama of Recent Developments
Price: 20.82 USD
Availability: InStock
ISBN: 9780521587501

ISBN-10: 0521587506

ISBN-13: 9780521587501

Edition: 2002

Authors: Boris Hasselblatt, Anatole Katok

List price: $76.99

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Description:

The theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. It has greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigor with copious examples of important applications. It covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. Readers need not be familiar with manifolds or measure theory; the only prerequisite is a basic…

Book details

List price: $76.99
Copyright year: 2002
Publisher: Cambridge University Press
Publication date: 6/23/2003
Binding: Paperback
Pages: 436
Size: 6.97" wide x 9.88" long x 0.79" tall
Weight: 1.628
Language: English




What is a dynamical system?



Simple Behavior in Dynamical Systems



Systems with stable asymptotic behavior



Linear maps and linear differential equations



Complicated Behavior in Dynamical Systems



Quasiperiodicity and uniform distribution on the circle



Quasiperiodicity and uniform distribution in higher dimension



Conservative systems



Simple systems with complicated orbit structure



Entropy and chaos



Simple dynamics as a tool



Panorama of Dynamical Systems



Hyperbolic dynamics



Quadratic maps



Homoclinic tangles



Strange attractors



Diophantine approximation and applications of dynamics to number theory



Variational methods, twist maps, and closed geodesics


Appendix


Solutions