Introduction to the Modern Theory of Dynamical Systems Series Number 54: Introduction to the Modern Theory of Dynamical Systems
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Uitgever: Cambridge University Press
Auteur:
Anatole Katok
Boris Hasselblatt
Co-auteur:
Anatole Katok
Boris Hasselblatt
- Engels
- Hardcover
- 9780521341875
- 28 april 1995
- 824 pagina's
Samenvatting
A self-contained introduction to the mathematical theory of dynamical systems.
This 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.
This 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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- Hardcover
- Oorspronkelijke releasedatum
- 28 april 1995
- Aantal pagina's
- 824
- Illustraties
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- Hoofdauteur
- Anatole Katok
- Tweede Auteur
- Boris Hasselblatt
- Co Auteur
- Boris Hasselblatt
- Hoofdredacteur
- Gian-Carlo Rota
- Hoofduitgeverij
- Cambridge University Press
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- 241 mm
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- 165 mm
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- 59 mm
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- 1270 g
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- 9780521341875
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