Coverart for item
The Resource Dynamical systems : an introduction, Luis Barreira, Claudia Valls

Dynamical systems : an introduction, Luis Barreira, Claudia Valls

Label
Dynamical systems : an introduction
Title
Dynamical systems
Title remainder
an introduction
Statement of responsibility
Luis Barreira, Claudia Valls
Creator
Contributor
Subject
Language
  • eng
  • por
  • 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
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1968-
http://library.link/vocab/creatorName
Barreira, Luis
Dewey number
515/.39
Index
index present
LC call number
QA614.8
LC item number
.B37 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1973-
http://library.link/vocab/relatedWorkOrContributorName
Valls, Claudia
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Differentiable dynamical systems
  • Dynamisches System
  • Ergodentheorie
Label
Dynamical systems : an introduction, Luis Barreira, Claudia Valls
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Basic Notions and Examples
  • Topological Dynamics
  • Low-Dimensional Dynamics
  • Hyperbolic Dynamics I
  • Hyperbolic Dynamics II
  • Symbolic Dynamics
  • Ergodic Theory
Control code
822978587
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9781447148357
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-4835-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)822978587
Label
Dynamical systems : an introduction, Luis Barreira, Claudia Valls
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction
  • Basic Notions and Examples
  • Topological Dynamics
  • Low-Dimensional Dynamics
  • Hyperbolic Dynamics I
  • Hyperbolic Dynamics II
  • Symbolic Dynamics
  • Ergodic Theory
Control code
822978587
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9781447148357
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-4835-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)822978587

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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