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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Covers the fundamental properties of partial differential equations (PDEs) and proven techniques useful in analyzing them. Uses a broad approach to illustrate the rich diversity of phenomena such as vibrations of solids, fluid flow, molecular structure, photon and electron interactions, radiation of electromagnetic waves encompassed by this subject as well as the role PDEs play in modern mathematics, especially geometry and analysis.
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