Introduction to the modern 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...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1995
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| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 54 |
| Links: | https://doi.org/10.1017/CBO9780511809187 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xviii, 802 Seiten) |
| ISBN: | 9780511809187 |
Internformat
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| 245 | 1 | 0 | |a Introduction to the modern theory of dynamical systems |c Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1995 | |
| 300 | |a 1 Online-Ressource (xviii, 802 Seiten) | ||
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| 520 | |a 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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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Katok, A. B. Introduction to the modern theory of dynamical systems Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza Cambridge Cambridge University Press 1995 1 Online-Ressource (xviii, 802 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 54 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. Hasselblatt, Boris Erscheint auch als Druck-Ausgabe 9780521341875 Erscheint auch als Druck-Ausgabe 9780521575577 |
| spellingShingle | Katok, A. B. Introduction to the modern theory of dynamical systems |
| title | Introduction to the modern theory of dynamical systems |
| title_auth | Introduction to the modern theory of dynamical systems |
| title_exact_search | Introduction to the modern theory of dynamical systems |
| title_full | Introduction to the modern theory of dynamical systems Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza |
| title_fullStr | Introduction to the modern theory of dynamical systems Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza |
| title_full_unstemmed | Introduction to the modern theory of dynamical systems Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza |
| title_short | Introduction to the modern theory of dynamical systems |
| title_sort | introduction to the modern theory of dynamical systems |
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