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A First Course in Dynamics: with a Panorama of Recent Developments

Posted on 2010-09-20




Name:A First Course in Dynamics: with a Panorama of Recent Developments
ASIN/ISBN:0521587506
Publish Date:1 edition (June 23, 2003)
Pages:436 pages
File size:6 Mb
ISBN: 0521587506
Pages: 436 pages
File Type: PDF
File Size: 6 MB
Other Info: Cambridge University Press; 1 edition (June 23, 2003)
   A First Course in Dynamics: with a Panorama of Recent Developments

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The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.

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