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Ordinary Differential Equations and Linear Algebra

Ordinary Differential Equations and Linear Algebra
A Systems Approach

c.$84.99 ( )

  • Date Published: October 2016
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9781611974089

c.$ 84.99 ( )
Paperback

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About the Authors
  • Ordinary differential equations (ODEs) and linear algebra are taught in foundational post-calculus mathematics courses in the sciences. This text will help students master both subject areas. Linear algebra is systematically developed first, with an eye towards solving linear systems of ODEs, and over fifteen distinct applications of the theory are explored, including lead poisoning, SIR models and digital filters, not typically seen in textbooks at this level. A large emphasis is also placed on mathematical modeling, with the group projects at the end of each chapter allowing students to fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description. The seamless transition between linear algebra and ODEs contained within this one text makes this a valuable resource for students who have had one year of calculus and are taking a first class in ODEs.

    • Systematically develops the linear algebra needed to solve systems of ODEs
    • Includes over fifteen distinct applications of the theory, many of which are not typically seen in textbooks at this level
    • Contains group projects at the end of each chapter
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    Product details

    • Date Published: October 2016
    • format: Paperback
    • isbn: 9781611974089
    • length: 306 pages
    • dimensions: 254 x 177 x 18 mm
    • weight: 0.64kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    1. Essentials of linear algebra
    2. Scalar first-order linear differential equations
    3. Systems of first-order linear differential equations
    4. Scalar higher-order linear differential equations
    5. Discontinuous forcing and the Laplace transform
    6. Odds and ends
    Bibliography
    Index.

  • Author

    Todd Kapitula, Calvin College, Michigan
    Todd Kapitula teaches at Calvin College, Michigan, and previously held posts at the University of New Mexico, Virginia Tech, and the University of Utah. He is the author or coauthor of over 45 peer-reviewed research articles - one of which won the SIAM Outstanding Paper Prize - and has been awarded several National Science Foundation research grants. He coauthored, with Keith Promislow, the graduate-level text, Spectral and Dynamical Stability of Nonlinear Waves (2013). He is a member of SIAM and participates in the SIAM activity groups (SIAGs) on Applied Mathematics Education, Dynamical Systems, and Nonlinear Waves and Coherent Structures.

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