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Title

A Journey into Partial Differential Equations
Author

William O. Bray
Book information

Publisher: Jones & Bartlett Learning (Burlington, MA)
Copyright year: 2012
ISBN: 9780763772567
Medium: Hardcover
Pages: 316
Out of print?: N
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Book cover image
Contents

Unfolding Ideas via Examples | First Order Linear PDE | The Classical Trinity Revisited | An Introduction to Distributions | Fourier Expansions | Diffusion & Waves with Boundaries | Laplace’s Equation | Fourier Expansions on a Sphere
Description

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.
Subjects

*Education
*Education > College
*Engineering
*Mathematics > Calculus and Analysis > Differential Equations
*Science > Physics
Keywords

Laplace's Equation, Heat Diffusion, Engineering
URL

http://math.umemat.maine.edu/~bray/Journey/mfiles/mfles.html