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Introduction to the Modern Theory of Dynamical Systems

Introduction to the Modern Theory of Dynamical Systems

by Boris Hasselblatt and Anatole Katok
Paperback
Publication Date: 28/12/1996

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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.
ISBN:
9780521575577
9780521575577
Category:
Differential calculus & equations
Format:
Paperback
Publication Date:
28-12-1996
Language:
English
Publisher:
Cambridge University Press
Country of origin:
United Kingdom
Pages:
824
Dimensions (mm):
235x159x51mm
Weight:
1.16kg

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