Items related to A First Course in Dynamics ICM Edition: with a Panorama...
Synopsis
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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Book Description
The theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. Its concepts, methods and paradigms have greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This elegant introduction to the subject combines mathematical rigor with copious examples of important applications, covering topics ranging from Newtonian mechanics to coding theory. It will be a valuable first textbook for senior undergraduate and beginning graduate students of mathematics, physics, and engineering.
About the Author
fm.author_biographical_note2
Anatole Katok is Raymond N. Shibley Professor of Mathematics at Pennsylvania State University.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2010
- ISBN 10 052116995X
- ISBN 13 9780521169950
- BindingPaperback
- LanguageEnglish
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