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A First Course in Dynamics
Boris HasselblattAnatole Katok
其他書名
with a Panorama of Recent Developments
出版Cambridge University Press, 2003-06-23
主題Mathematics / GeneralMathematics / AppliedMathematics / Linear & Nonlinear Programming
ISBN05215830479780521583046
URLhttp://books.google.com.hk/books?id=CuNOswEACAAJ&hl=&source=gbs_api
註釋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.