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An Introduction to Ordinary Differential Equations

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Title: An Introduction to Ordinary Differential Equations
Description: This refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used either for 1-term or 1-semester courses. Topics such as Euler's method, difference equations, the dynamics of the logistic map, and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations and their solutions, and to that end the book is profusely illustrated. The files to produce the figures using MATLAB are all provided in an accompanying website. Numerous worked examples provide motivation for and illustration of key ideas and show how to make the transition from theory to practice. Exercises are also provided to test and extend understanding: solutions for these are available for teachers.
Authors: James C. Robinson
Resource Type: eBook.
Subjects: Differential equations
Categories: MATHEMATICS / Differential Equations / Ordinary
Database: eBook Collection (EBSCOhost)
FullText Links:
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Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 165067
RelevancyScore: 992
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 991.891296386719
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  Data: This refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used either for 1-term or 1-semester courses. Topics such as Euler's method, difference equations, the dynamics of the logistic map, and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations and their solutions, and to that end the book is profusely illustrated. The files to produce the figures using MATLAB are all provided in an accompanying website. Numerous worked examples provide motivation for and illustration of key ideas and show how to make the transition from theory to practice. Exercises are also provided to test and extend understanding: solutions for these are available for teachers.
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      – Code: 515.352
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differential equations
        Type: general
    Titles:
      – TitleFull: An Introduction to Ordinary Differential Equations
        Type: main
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          Name:
            NameFull: James C. Robinson
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2004
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521826501
            – Type: isbn-print
              Value: 9780521533911
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              Value: 9780511165986
          Titles:
            – TitleFull: An Introduction to Ordinary Differential Equations
              Type: main
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