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Partial Differential Equations

Partial Differential Equations

2nd Edition

£68.00

  • Date Published: December 2010
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9780898719352

£ 68.00
Hardback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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  • Undergraduate courses on partial differential equations (PDEs) have traditionally been based on the Fourier series method for analysing and solving PDEs. What this textbook offers is a fresh approach; the traditional method taught alongside the modern finite element method. Both powerful methods are introduced to the reader and emphasised equally. A further beneficial feature of the book is that it uses the language of linear algebra, in particular in emphasising the role of best approximation in function spaces and the idea of an eigenfunction expansion. Its inclusion of realistic physical experiments for many examples and exercises will make the book appealing to science and engineering students, as well as students of mathematics. This second edition has a broader coverage of PDE methods and applications than the first, with the inclusion of chapters on the method of characteristics, Green's functions, Sturm–Liouville problems and a section on finite difference methods.

    • Tutorials are provided that explain the features of MATLAB, Mathematica and Maple which are useful for the material in the book
    • The text includes thorough expositions of the background material from linear algebra and ordinary differential equations
    • The only prerequisite is a course in ordinary differential equations
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    Reviews & endorsements

    'I love this book and look forward to using it as a text in the future … It's the first truly modern approach that I've seen in a PDE text.' Maeve McCarthy, MAA Online

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    Product details

    • Edition: 2nd Edition
    • Date Published: December 2010
    • format: Hardback
    • isbn: 9780898719352
    • length: 674 pages
    • dimensions: 261 x 183 x 35 mm
    • weight: 1.3kg
    • contains: 150 b/w illus.
    • 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. Classification of differential equations
    2. Models in one dimension
    3. Essential linear algebra
    4. Essential ordinary differential equations
    5. Boundary value problems in statics
    6. Heat flow and diffusion
    7. Waves
    8. First-order PDEs and the method of characteristics
    9. Green's functions
    10. Sturm–Liouville eigenvalue problems
    11. Problems in multiple spatial dimensions
    12. More about Fourier series
    13. More about finite element methods
    Appendix A. Proof of Theorem 3.47
    Appendix B. Shifting the data in two dimensions
    Bibliography
    Index.

  • Resources for

    Partial Differential Equations

    Mark S. Gockenbach

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  • Author

    Mark S. Gockenbach
    Mark Gockenbach is Professor and Chair of the Department of Mathematical Sciences at Michigan Technological University. He is the author of Partial Differential Equations: Analytical and Numerical Methods (SIAM, 2002) and Understanding and Implementing the Finite Element Method (SIAM, 2006). His research interests include inverse problems in partial differential equations and numerical methods and software for large-scale optimization problems.

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