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Differential Equations

Differential Equations
Linear, Nonlinear, Ordinary, Partial

$75.99 (X)

  • Date Published: June 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521016872

$ 75.99 (X)

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About the Authors
  • Differential equations are vital to science, engineering and mathematics, and this book enables the reader to develop the required skills needed to understand them thoroughly. The authors focus on constructing solutions analytically and interpreting their meaning and use MATLAB extensively to illustrate the material along with many examples based on interesting and unusual real world problems. A large selection of exercises is also provided.

    • Class-tested with special attention given to areas students find hard
    • Extensive exercises, with solutions available to instructors from
    • Many examples taken from real-world problems
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    Reviews & endorsements

    "An eloquent applied differential equations textbook, with its own identity." SIAM Review

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    Product details

    • Date Published: June 2003
    • format: Paperback
    • isbn: 9780521016872
    • length: 556 pages
    • dimensions: 248 x 175 x 26 mm
    • weight: 1.093kg
    • contains: 169 b/w illus. 173 exercises
    • availability: Available
  • Table of Contents

    Part I. Linear Equations:
    1. Variable coefficient, second order, linear, ordinary differential equations
    2. Legendre functions
    3. Bessel functions
    4. Boundary value problems, Green's functions and Sturm–Liouville theory
    5. Fourier series and the Fourier transform
    6. Laplace transforms
    7. Classification, properties and complex variable methods for second order partial differential equations
    Part II. Nonlinear Equations and Advanced Techniques:
    8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations
    9. Nonlinear ordinary differential equations: phase plane methods
    10. Group theoretical methods
    11. Asymptotic methods: basic ideas
    12. Asymptotic methods: differential equations
    13. Stability, instability and bifurcations
    14. Time-optimal control in the phase plane
    15. An introduction to chaotic systems
    Appendix 1. Linear algebra
    Appendix 2. Continuity and differentiability
    Appendix 3. Power series
    Appendix 4. Sequences of functions
    Appendix 5. Ordinary differential equations
    Appendix 6. Complex variables
    Appendix 7. A short introduction to MATLAB

  • Resources for

    Differential Equations

    A. C. King, J. Billingham, S. R. Otto

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  • Authors

    A. C. King, University of Birmingham

    J. Billingham, University of Birmingham

    S. R. Otto, University of Birmingham

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