Page Tools:
  • print-friendly version

A Journey into Partial Differential Equations

Author(s): William O Bray, PhD, University of Maine
Details:
  • ISBN-13: 9780763772567
  • Hardcover    316 pages      © 2012
Price: International Sales $149.95 US List
Add to Cart Request a Review Copy

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. Discussing underlying physics, concepts and methodologies, the text focuses on the classical trinity of equations: the wave equation, heat/diffusion equation, and Laplace's equation. Bray provides careful treatment of the separation of variables and the Fourier method, motivated by the geometrical notion of symmetries and 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.

Access Mathematic Files

View Errata

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.

Back to top

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
Back to top

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.

Back to top

ShowAppropriate Courses

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

Back to top

ShowResources

Back to top