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.
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Features & Benefits
- 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.
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
William O Bray, PhD-Missouri State University
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.