A First Course in Dynamics: With a Panorama of Recent Developments Boris Hasselblatt

ISBN: 9781316037362

Published: June 23rd 2003

ebook

436 pages


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A First Course in Dynamics: With a Panorama of Recent Developments  by  Boris Hasselblatt

A First Course in Dynamics: With a Panorama of Recent Developments by Boris Hasselblatt
June 23rd 2003 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 436 pages | ISBN: 9781316037362 | 5.27 Mb

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 fromMoreThe 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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