Introduction to the Modern Theory of Dynamical Systems (Paperback)

Anatole Katok

ISBN 10: 0521575575 / ISBN 13: 9780521575577

Editore: Cambridge University Press, Cambridge, 1996

Riguardo questo articolo

Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780521575577

Dati bibliografici

• Titolo: Introduction to the Modern Theory of Dynamical Systems (Paperback)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0521575575
• ISBN 13: 9780521575577
• Rilegatura: Paperback
• Edizione: prima edizione
• Condizione: new

Descrizione articolo

Riassunto

A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.

Recensione

' ... 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