Editorial Reviews
Review
' ... there is no other treatment coming close in terms of comprehensiveness and readability ... it is indispensable for anybody working on dynamical systems in almost any context, and even experts will find interesting new proofs, insights and historical references throughout the book.' Monatshefte für Mathematik
'... contains detailed discussion ... presents many recent results ... The text is carefully written and is accompanied by many excercises.' European Mathematical Society Newsletter
'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.' L'Enseignement Mathématique
Book Description
This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up.
Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications),Anatole Katok,Boris Hasselblatt,G.-C. Rota,B. Doran,M. Ismail,T. Y. Lam,E. Wutwak,P. Flajolet,E. Lutwak,Cambridge University Press,0521575575,Applied,Differential Equations,Mathematics,Mechanics - Dynamics - General,Probability & Statistics - General,Science,Science/Mathematics,Differentiable dynamical systems,Mathematics / General
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