Overview
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.
Full Product Details
Author: Boris Hasselblatt (Professor, Tufts University, Massachusetts) ,
Anatole Katok (Pennsylvania State University)
Publisher: Cambridge University Press
Imprint: Cambridge University Press (Virtual Publishing)
ISBN: 9780511998188
ISBN 10: 051199818
Publication Date: 05 June 2012
Audience:
College/higher education
,
Professional and scholarly
,
Tertiary & Higher Education
,
Professional & Vocational
Format: Undefined
Publisher's Status: Active
Availability: Available To Order
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.
Reviews
'... 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 fur 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
