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

 
9780521583046: A First Course in Dynamics: with a Panorama of Recent Developments

Synopsis

Book by Hasselblatt Boris Katok Anatole

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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 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.

Revue de presse

'... an excellent presentation of the modern theory of dynamical systems at the advanced undergraduate to intermediate graduate level written by two renowned experts in the field.' Zentralblatt für Mathematik

'The book is written in a precise and very readable style, there are many useful remarks and figures throughout. It can be highly recommended to anybody who is interested in dynamical systems and who has a basic knowledge of calculus. The book is also an excellent introduction to the more advanced monograph written by the same authors.' European Mathematical Society Newsletter

'I would recommend that all senior undergraduate physics and engineering students should familiarize themselves with its contents ... it is a recommendation for a mathematical perspective on dynamics from an engineer for engineers - and from my discussions with practical physicists a similar recommendation from them.' Contemporary Physics

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

  • ÉditeurCambridge University Press
  • Date d'édition2003
  • ISBN 10 0521583047
  • ISBN 13 9780521583046
  • ReliureRelié
  • Langueanglais
  • Nombre de pages436

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Hasselblatt, Boris, Katok, Anatole
Edité par Cambridge University Press, 2003
ISBN 10 : 0521583047 ISBN 13 : 9780521583046
Ancien ou d'occasion Couverture rigide

Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni

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