A Journey into Partial Differential Equations: .

by William O Bray

Overview

Part of the International Series in Mathematics Ideal for the 1-term course, A Journey into Part ial 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 Part ial Differential Equations proves to be the model book for the PDE course. Access Mathematica Files View Errata 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. Ideal for the undergraduate course in partial differential equations for the math, engineering or physics student. © 2012 | 316 pages

Product Details

ISBN-13:	9780763772567
Publisher:	Jones & Bartlett Learning
Publication date:	01/12/2011
Series:	International Series in Mathematics
Edition description:	1
Pages:	316
Product dimensions:	7.50(w) x 9.20(h) x 0.90(d)

About the Author

Dr. Bray is currently'a professor and department chair at Missouri State University. He has published numerous research articles primarily in the realm of harmonic analysis and edited two international conference proceedings volumes.

Table 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