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An Introduction to Partial Differential Equations

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  • Date Published: June 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521613231

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  • A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students and extended solution sets are available to lecturers from solutions@cambridge.org.

    • Many worked examples and exercises, with extended solutions available for lecturers from solutions@cambridge.org
    • An undergraduate textbook which bridges the gap between introductory and advanced courses on differential equations
    • Designed for students with a range of abilities
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    Reviews & endorsements

    "This is an introductory book on the subject of partial differential equations which is suitable for a large variety of basic courses on this topic. In particular, it can be used as a textbook or self-study book for large classes of readers with interests in mathematics, engineering, and related fields. Its usefulness stems from its clarity, balance and conciseness, achieved without compromising the mathematical rigor. One particularly attractive feature is the way in which the authors managed to emphasize the relevance of the theoretical tools in connection with practical applications."
    Mathematical Reviews

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    Product details

    • Date Published: June 2005
    • format: Paperback
    • isbn: 9780521613231
    • length: 384 pages
    • dimensions: 244 x 173 x 18 mm
    • weight: 0.75kg
    • contains: 35 b/w illus. 200 exercises
    • availability: Available
  • Table of Contents

    1. Introduction
    2. First-order equations
    3. Second-order linear equations
    4. The 1D wave equation
    5. Separation of variables
    6. Sturm-Liouville problem
    7. Elliptic equations
    8. Green's function and integral representation
    9. Equations in high dimensions
    10. Variational methods
    11. Numerical methods
    12. Solutions of odd-numbered problems.

  • Resources for

    An Introduction to Partial Differential Equations

    Yehuda Pinchover, Jacob Rubinstein

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    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email lecturers@cambridge.org

  • Instructors have used or reviewed this title for the following courses

    • Advanced Differential Equations
    • Applied Mathematical Analysis
    • Applied Mathematics I
    • Applied Mathematics ll
    • Applied Partial Differential Equations
    • Fundamentals of Nuclear Engineering
    • Initial and Boundary Value Problems
    • Introduction to Partial Differential Equations
    • Partial Differential Equations of Applied Mathematics
  • Authors

    Yehuda Pinchover, Technion - Israel Institute of Technology, Haifa

    Jacob Rubinstein, Indiana University

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