The Resource Dynamical Systems : An Introduction, by Luis Barreira, Claudia Valls, (electronic resource)

Dynamical Systems : An Introduction, by Luis Barreira, Claudia Valls, (electronic resource)

Label
Dynamical Systems : An Introduction
Title
Dynamical Systems
Title remainder
An Introduction
Statement of responsibility
by Luis Barreira, Claudia Valls
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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 Poincaré-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, Poincaré'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
Member of
http://library.link/vocab/creatorName
Barreira, Luis
Dewey number
531.3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • hsq5SzlklQQ
  • e5PEZCM0PYM
Language note
English
LC call number
QA313
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Valls, Claudia.
Series statement
  • Universitext,
  • Universitext,
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Global analysis
  • Differential Equations
  • Dynamical Systems and Ergodic Theory
  • Global Analysis and Analysis on Manifolds
  • Ordinary Differential Equations
  • Hyperbolic Geometry
Label
Dynamical Systems : An Introduction, by Luis Barreira, Claudia Valls, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Introduction -- Basic Notions and Examples -- Topological Dynamics -- Low-Dimensional Dynamics -- Hyperbolic Dynamics I -- Hyperbolic Dynamics II -- Symbolic Dynamics -- Ergodic Theory
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (213 p.)
Form of item
online
Isbn
9781447148357
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4471-4835-7
Specific material designation
remote
System control number
  • (CKB)2670000000308620
  • (EBL)1081785
  • (OCoLC)823386421
  • (SSID)ssj0000813344
  • (PQKBManifestationID)11449050
  • (PQKBTitleCode)TC0000813344
  • (PQKBWorkID)10768749
  • (PQKB)10027897
  • (DE-He213)978-1-4471-4835-7
  • (MiAaPQ)EBC1081785
  • (EXLCZ)992670000000308620
Label
Dynamical Systems : An Introduction, by Luis Barreira, Claudia Valls, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Introduction -- Basic Notions and Examples -- Topological Dynamics -- Low-Dimensional Dynamics -- Hyperbolic Dynamics I -- Hyperbolic Dynamics II -- Symbolic Dynamics -- Ergodic Theory
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (213 p.)
Form of item
online
Isbn
9781447148357
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4471-4835-7
Specific material designation
remote
System control number
  • (CKB)2670000000308620
  • (EBL)1081785
  • (OCoLC)823386421
  • (SSID)ssj0000813344
  • (PQKBManifestationID)11449050
  • (PQKBTitleCode)TC0000813344
  • (PQKBWorkID)10768749
  • (PQKB)10027897
  • (DE-He213)978-1-4471-4835-7
  • (MiAaPQ)EBC1081785
  • (EXLCZ)992670000000308620

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