Introduction to the Modern Theory of Dynamical Systems
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Introduction to the Modern Theory of Dynamical Systems by Anatole Katok
Book DescriptionThis book provided 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.
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Book DetailsISBN: 9780521575577
(234mm x 156mm x 42mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Dec-1996
Country of Publication: United Kingdom
Books By Author Anatole Katok
Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem, Hardback (June 2011)
Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field.
Nonuniform Hyperbolicity, Hardback (September 2007)
A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.
First Course in Dynamics, Paperback (June 2003)
An advanced undergraduate introduction combining mathematical rigour with copious examples of important applications.
Handbook of Dynamical Systems, Hardback (August 2002)» View all books by Anatole Katok
Gives a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. This work serves as a useful resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics.
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