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Geometric Methods for Discrete Dynamical Systems

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Title: Geometric Methods for Discrete Dynamical Systems
Description: This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.
Authors: Robert W. Easton
Resource Type: eBook.
Subjects: Differentiable dynamical systems, Iterative methods (Mathematics)
Categories: MATHEMATICS / Differential Equations / Ordinary
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
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DbLabel: eBook Collection (EBSCOhost)
An: 143847
RelevancyScore: 959
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 959.155151367188
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  Data: Geometric Methods for Discrete Dynamical Systems
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  Label: Description
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  Data: This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.352
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differentiable dynamical systems
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
    Titles:
      – TitleFull: Geometric Methods for Discrete Dynamical Systems
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Robert W. Easton
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          Name:
            NameFull: Robert W. Easton
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 1998
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780195085457
            – Type: isbn-electronic
              Value: 9781423735236
            – Type: isbn-electronic
              Value: 9780195359046
          Numbering:
            – Type: volume
              Value: 00050
          Titles:
            – TitleFull: Geometric Methods for Discrete Dynamical Systems
              Type: main
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