The Resource Dynamical systems : an introduction, Luis Barreira, Claudia Valls
Dynamical systems : an introduction, Luis Barreira, Claudia Valls
Resource Information
The item Dynamical systems : an introduction, Luis Barreira, Claudia Valls represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Dynamical systems : an introduction, Luis Barreira, Claudia Valls represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 selfcontained and compact introduction. Topics covered include topological, lowdimensional, 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 PoincaréBendixson 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 onesemester or twosemesters course at the advanced undergraduate or beginning graduate levels. It can also be used for selfstudy and as a starting point for more advanced topics
 Language

 eng
 por
 eng
 Extent
 1 online resource.
 Contents

 Introduction
 Basic Notions and Examples
 Topological Dynamics
 LowDimensional Dynamics
 Hyperbolic Dynamics I
 Hyperbolic Dynamics II
 Symbolic Dynamics
 Ergodic Theory
 Isbn
 9781447148357
 Label
 Dynamical systems : an introduction
 Title
 Dynamical systems
 Title remainder
 an introduction
 Statement of responsibility
 Luis Barreira, Claudia Valls
 Subject

 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems.
 Differential Equations.
 Dynamical Systems and Ergodic Theory.
 Dynamisches System
 Ergodentheorie
 Global Analysis and Analysis on Manifolds.
 Hyperbolic Geometry.
 Mathematics.
 Ordinary Differential Equations.
 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 selfcontained and compact introduction. Topics covered include topological, lowdimensional, 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 PoincaréBendixson 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 onesemester or twosemesters course at the advanced undergraduate or beginning graduate levels. It can also be used for selfstudy and as a starting point for more advanced topics
 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
 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
 LowDimensional 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
 10.1007/9781447148357
 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
 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
 LowDimensional 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
 10.1007/9781447148357
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)822978587
Subject
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems.
 Differential Equations.
 Dynamical Systems and Ergodic Theory.
 Dynamisches System
 Ergodentheorie
 Global Analysis and Analysis on Manifolds.
 Hyperbolic Geometry.
 Mathematics.
 Ordinary Differential Equations.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/DynamicalsystemsanintroductionLuis/7A6Fj18jnfM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/DynamicalsystemsanintroductionLuis/7A6Fj18jnfM/">Dynamical systems : an introduction, Luis Barreira, Claudia Valls</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>