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Thinking about Ordinary Differential Equations

Thinking about Ordinary Differential Equations

$63.00 (P)

Part of Cambridge Texts in Applied Mathematics

  • Date Published: January 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521557429

$ 63.00 (P)
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About the Authors
  • While mastery of these equations is essential, adhering to any one method of solving them is not. This book stresses alternative examples and analyses by means of which students can understand a number of approaches to finding solutions and understanding their behavior. This book offers not only an applied perspective for the student learning to solve differential equations, but also the challenge to apply these analytical tools in the context of singular perturbations, which arises in many areas of application.

    • Good exercises and examples
    • Motivation to use linear algebra and power series
    • An applied perspective
    • For advanced undergraduates and graduate students in applied maths and engineering
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    Reviews & endorsements

    "The distinguishing feature of this text is the last chapter, on singular perturbation theory, which intoduces the notions of both boundary layer and multiple scales. THis text is certainly suitable for an advanced lecture course, particlulary as it contains a wealth of examples and solutions." Journal of Fluid Mechanics

    "...this volume is a worthy addition to the literature and will be useful as a reference to students, faculty, and practicing scientists." The UMAP Journal

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    Product details

    • Date Published: January 1997
    • format: Paperback
    • isbn: 9780521557429
    • length: 260 pages
    • dimensions: 229 x 152 x 15 mm
    • weight: 0.39kg
    • contains: 29 b/w illus. 136 exercises
    • availability: Available
  • Table of Contents

    1. First-order equations
    2. Linear second-order equations
    3. Power series solutions and special functions
    4. Systems of linear differential equations
    5. Stability concepts
    6. Singular perturbation methods
    General references
    Index.

  • Author

    Robert E. O'Malley, Jr, University of Washington

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