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9780486812229

Boundary Value Problems of Applied Mathematics Second Edition

  • ISBN 13:

    9780486812229

  • ISBN 10:

    0486812227

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 06/21/2017
  • Publisher: Dover Publications

Note: Not guaranteed to come with supplemental materials (access cards, study guides, lab manuals, CDs, etc.)

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Summary

Addressing both physical and mathematical aspects, this self-contained text on boundary value problems is geared toward advanced undergraduates and graduate students in mathematics. Prerequisites include some familiarity with multidimensional calculus and ordinary differential equations.
A brief introductory section precedes the two-part treatment, which begins with coverage of basic theory. Topics include Fourier series of periodic functions, linear boundary value problems, diffusion problems related to the heat equation, steady-state problems involving the potential equation, and propagation problems incorporating the wave equation. The second part focuses on extensions, exploring general second-order linear equations and systems, series methods, integral transform methods, and Sturm–Liouville problems. Problem sets appear throughout the text, along with a substantial section of answers to selected problems. This corrected edition includes a new Preface and an updated Appendix.

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