A Journey into Partial Differential Equations

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.

Chapter1 Unfolding Ideas via Examples
Chapter2 First Order Linear PDE
Chapter3 The Classical Trinity Revisited
Chapter4 An Introduction to Distributions
Chapter5 Fourier Expansions
Chapter6 Diffusion & Waves with Boundaries
Chapter7 Laplace's Equation
Chapter8 Fourier Expansions on a Sphere