Partial Differential Equations

Containing both realistic exercises and advanced topics, this undergraduate introduction to the field provides an analysis of the Robin boundary condition and the need for Fourier expansions. Schrodinger equations are also discussed, to illustrate the connection with chemistry and physics.

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This volume covers the fundamental properties of partial differential equations (PDEs) and the proven techniques useful in analyzing them. It uses a broad approach to illustrate the rich diversity of phenomena such as the vibrations of solids, fluid flow, molecular structure, photon and electron interactions, and the radiation of electomagnetic waves, as well as the role PDEs play in modern mathematics, especially geometry and analysis.