An Introduction to Chaotic Dynamical Systems (Studiea in Nonlinearity) by Robert L. Devaney |
Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics) by V.I. Arnol'd |
by William Parry
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by Paul R. Halmos
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‘ … 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working on dynamical systems in almost any context, and even experts will find interesting new proofs, insights and historical references throughout the book.’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
‘… 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
Product Description
This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental 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. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up. Scientists and engineers working in applied dynamics, nonlinear science, and chaos will also find many fresh insights in this concrete and clear presentation.
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The most general and somewhat vague notion of a dynamical system includes the following ingredients: (i). A "phrase space" X, whose elements or "points" represent possible states of the system. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
The most general and somewhat vague notion of a dynamical system includes the following ingredients: (i). A "phrase space" X, whose elements or "points" represent possible states of the system. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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