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A First Course in Dynamics with a Panorama of Recent Developments

Door Boris Hasselblatt e.a.

Categorie
Algemeen wetenschap
Boeknummer
#349799-ZB1
Titel
A First Course in Dynamics with a Panorama of Recent Developments
Auteur
Hasselblatt, Boris & Anatole Katok
Boektype
Paperback
Uitgeverij
Cambridge University Press
Jaar van uitgave
2003
ISBN10
0521587506
ISBN13
9780521587501
Taal
Engels
Beschrijving
Paperback, illustrated with numerous equations, graphs and diagrams, 8vo.
Samenvatting
This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigor with examples of important applications, covering topics ranging from Newtonian mechanics to coding theory.
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 ... (Lees verder)ranging from Newtonian mechanics to coding theory. Readers need not be familiar with manifolds or measure theory; the only prerequisite is a basic undergraduate analysis course. The authors begin by describing the wide array of scientific and mathematical questions that dynamics can address. They then use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. The final chapters introduce modern developments and applications of dynamics. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.
Pagina's
424
Conditie
Goed
Prijs
€ 30,00

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