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A Journey into Partial Differential Equations

Author(s): William O Bray, PhD, University of Maine
Details:
  • ISBN-13: 9780763772567
  • Hardcover    400 pages      © 2012
  • Will Publish: 1/3/2011
Price: Find Your Sales Rep International Sales $117.95 US List
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Overview

Part of the International Series in Mathematics

Ideal for the 1-term course, A Journey into Partial Differential Equations provides a solid introduction to PDEs for the undergraduate math, engineering, or physics student.  The text focuses on the classical trinity of equations including the wave, heat/diffusion, and LaPlace's equations, discussing the concepts and methodologies of each. It provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries. The author places emphasis on both the qualitative and quantitative methods, as well as geometrical perspectives.  With hundred of exercises and a wealth of figures, A Journey into Partial Differential Equations proves to be the model book for the PDE course.

ShowKey Features

  • Contains over 200 exercises and a wealth of figures for graphic illustration
  • Analytical methodologies and geometric perspectives are emphasized throughout
  • Offers an early introduction to distributions/generalized functions and their use throughout the text
  • Mathematica notebook files are available on the text's Website
  • A complete Instructor's Solutions Manual is available to qualified instructors.

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ShowTable of Contents

Chapter  1  Unfolding Ideas via Examples
Chapter  2  First Order Linear PDE
Chapter  3  The Classical Trinity Revisited
Chapter  4  An Introduction to Distributions
Chapter  5  Fourier Expansions
Chapter  6  Diffusion & Waves with Boundaries
Chapter  7  Laplace’s Equation
Chapter  8  Fourier Expansions on a Sphere
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ShowAbout the Author(s)

William O Bray, PhD-University of Maine

Dr. Bray has been on the faculty at the University of Maine for 29 years. He has published numerous research articles primarily in the realm of harmonic analysis and edited two international conference proceedings volumes.

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ShowAppropriate Courses

Ideal for the undergraduate course in partial differential equations for the math, engineering or physics student.

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