Format:
x, 424 Seiten
,
Illustrationen
Edition:
Online-Ausgabe Cambridge Cambridge University Press [June 2012] 1 Online-Ressource (x, 424 Seiten)
ISBN:
9780511998188
Content:
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
Note:
Literaturverzeichnis: Seite 386-388
Additional Edition:
ISBN 9780521583046
Additional Edition:
ISBN 9780521587501
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521583046
Additional Edition:
Elektronische Reproduktion von Hasselblatt, Boris, 1961 - A first course in dynamics Cambridge : Cambridge Univ. Press, 2003 ISBN 9780521583046
Additional Edition:
ISBN 0521583047
Additional Edition:
ISBN 0521587506
Additional Edition:
ISBN 9780521587501
Language:
English
Subjects:
Mathematics
Keywords:
Differenzierbares dynamisches System
;
Lehrbuch
DOI:
10.1017/CBO9780511998188
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
Author information:
Katok, Anatole 1944-2018
Author information:
Hasselblatt, Boris 1961-
