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Introduction to the Modern Theory of Dynamical Systems by Anatole Katok, A. B. Katok, G. -C Rota

Introduction to the Modern Theory of Dynamical Systems

by Anatole Katok , A. B. Katok , G. -C Rota
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Book cover type: Paperback
  • ISBN13: 9780521575577
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 824
  • Original Price: GBP 75.0
  • Language: English
  • Edition: Revised
  • Item Weight: 1162 grams
  • BISAC Subject(s): Mechanics / Dynamics

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.

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