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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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; Sao Paulo ; Delhi ; Dubai ; Tokyo ; Mexico City
Cambridge University Press
[1995]
|
| Series: | Encyclopedia of mathematics and its applications
volume 54 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UER01 UPA01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (xviii, 802 Seiten) |
| ISBN: | 9780511809187 |
| DOI: | 10.1017/CBO9780511809187 |
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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 |
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| 490 | 1 | |a Encyclopedia of mathematics and its applications |v volume 54 | |
| 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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Record in the Search Index
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| author | Katok, Anatole 1944-2018 Hasselblatt, Boris 1961- |
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| author_facet | Katok, Anatole 1944-2018 Hasselblatt, Boris 1961- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| genre | 1\p (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV043941029 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511809187 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349998 |
| oclc_num | 967774544 |
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| owner_facet | DE-12 DE-29 DE-92 DE-739 |
| physical | 1 Online-Ressource (xviii, 802 Seiten) |
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| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge University Press |
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| series | Encyclopedia of mathematics and its applications |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Katok, Anatole 1944-2018 Verfasser (DE-588)111187125 aut Introduction to the modern theory of dynamical systems Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; Sao Paulo ; Delhi ; Dubai ; Tokyo ; Mexico City Cambridge University Press [1995] © 1995 1 Online-Ressource (xviii, 802 Seiten) txt rdacontent c rdamedia cr rdacarrier 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 Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Dynamisches System (DE-588)4013396-5 s 2\p DE-604 Hasselblatt, Boris 1961- Verfasser (DE-588)137987471 aut Mendoza, Leonardo wst Erscheint auch als Druck-Ausgabe, Hardcover 978-0-521-34187-5 Erscheint auch als Druck-Ausgabe, Paperback 978-0-521-57557-7 Encyclopedia of mathematics and its applications volume 54 (DE-604)BV044777929 volume 54 https://doi.org/10.1017/CBO9780511809187 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Katok, Anatole 1944-2018 Hasselblatt, Boris 1961- Introduction to the modern theory of dynamical systems Encyclopedia of mathematics and its applications Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4151278-9 |
| 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 |
| topic | Differentiable dynamical systems Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Differentiable dynamical systems Dynamisches System Einführung |
| url | https://doi.org/10.1017/CBO9780511809187 |
| volume_link | (DE-604)BV044777929 |
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