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Dynamical systems: an introduction

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Bibliographic Details
Main Author:	Barreira, Luis 1968- (Author)
Format:	Electronic eBook
Language:	English
Published:	London [u.a.] Springer 2013
Series:	Universitext
Subjects:	Ergodentheorie Dynamisches System
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (X, 209 S.) graph. Darst.
ISBN:	9781447148340 9781447148357
DOI:	10.1007/978-1-4471-4835-7

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MARC


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adam_text	DYNAMICAL SYSTEMS / BARREIRA, LUIS : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION BASIC NOTIONS AND EXAMPLES TOPOLOGICAL DYNAMICS LOW-DIMENSIONAL DYNAMICS HYPERBOLIC DYNAMICS I HYPERBOLIC DYNAMICS II SYMBOLIC DYNAMICS ERGODIC THEORY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. DYNAMICAL SYSTEMS / BARREIRA, LUIS : 2013 ABSTRACT / INHALTSTEXT THE THEORY OF DYNAMICAL SYSTEMS IS A BROAD AND ACTIVE RESEARCH SUBJECT WITH CONNECTIONS TO MOST PARTS OF MATHEMATICS. DYNAMICAL SYSTEMS: AN INTRODUCTION UNDERTAKES THE DIFFICULT TASK TO PROVIDE A SELF-CONTAINED AND COMPACT INTRODUCTION. TOPICS COVERED INCLUDE TOPOLOGICAL, LOW-DIMENSIONAL, HYPERBOLIC AND SYMBOLIC DYNAMICS, AS WELL AS A BRIEF INTRODUCTION TO ERGODIC THEORY. IN PARTICULAR, THE AUTHORS CONSIDER TOPOLOGICAL RECURRENCE, TOPOLOGICAL ENTROPY, HOMEOMORPHISMS AND DIFFEOMORPHISMS OF THE CIRCLE, SHARKOVSKI S ORDERING, THE POINCARE-BENDIXSON THEORY, AND THE CONSTRUCTION OF STABLE MANIFOLDS, AS WELL AS AN INTRODUCTION TO GEODESIC FLOWS AND THE STUDY OF HYPERBOLICITY (THE LATTER IS OFTEN ABSENT IN A FIRST INTRODUCTION). MOREOVER, THE AUTHORS INTRODUCE THE BASICS OF SYMBOLIC DYNAMICS, THE CONSTRUCTION OF SYMBOLIC CODINGS, INVARIANT MEASURES, POINCARE S RECURRENCE THEOREM AND BIRKHOFF S ERGODIC THEOREM. THE EXPOSITION IS MATHEMATICALLY RIGOROUS, CONCISE AND DIRECT: ALL STATEMENTS (EXCEPT FOR SOME RESULTS FROM OTHER AREAS) ARE PROVEN. AT THE SAME TIME, THE TEXT ILLUSTRATES THE THEORY WITH MANY EXAMPLES AND 140 EXERCISES OF VARIABLE LEVELS OF DIFFICULTY. THE ONLY PREREQUISITES ARE A BACKGROUND IN LINEAR ALGEBRA, ANALYSIS AND ELEMENTARY TOPOLOGY. THIS IS A TEXTBOOK PRIMARILY DESIGNED FOR A ONE-SEMESTER OR TWO-SEMESTERS COURSE AT THE ADVANCED UNDERGRADUATE OR BEGINNING GRADUATE LEVELS. IT CAN ALSO BE USED FOR SELF-STUDY AND AS A STARTING POINT FOR MORE ADVANCED TOPICS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Barreira, Luis 1968- Verfasser (DE-588)128529717 aut Dynamical systems an introduction Luis Barreira ; Claudia Valls London [u.a.] Springer 2013 1 Online-Ressource (X, 209 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Universitext Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Ergodentheorie (DE-588)4015246-7 s DE-604 Valls, Claudia 1973- Sonstige (DE-588)1026700426 oth https://doi.org/10.1007/978-1-4471-4835-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025708295&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025708295&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Barreira, Luis 1968- Dynamical systems an introduction Ergodentheorie (DE-588)4015246-7 gnd Dynamisches System (DE-588)4013396-5 gnd
subject_GND	(DE-588)4015246-7 (DE-588)4013396-5
title	Dynamical systems an introduction
title_auth	Dynamical systems an introduction
title_exact_search	Dynamical systems an introduction
title_full	Dynamical systems an introduction Luis Barreira ; Claudia Valls
title_fullStr	Dynamical systems an introduction Luis Barreira ; Claudia Valls
title_full_unstemmed	Dynamical systems an introduction Luis Barreira ; Claudia Valls
title_short	Dynamical systems
title_sort	dynamical systems an introduction
title_sub	an introduction
topic	Ergodentheorie (DE-588)4015246-7 gnd Dynamisches System (DE-588)4013396-5 gnd
topic_facet	Ergodentheorie Dynamisches System
url	https://doi.org/10.1007/978-1-4471-4835-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025708295&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025708295&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT barreiraluis dynamicalsystemsanintroduction AT vallsclaudia dynamicalsystemsanintroduction

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