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Beginning Partial Differential Equations (A Wiley-Interscience publication) Book
Beginning Partial Differential Equations provides a challenging yet accessible introduction to partial differential equations for advanced undergraduate and beginning graduate students. Features include: * A discussion of first order equations and the method of characteristics for quasi-linear first order PDEs * Canonical forms of second order PDEs * Characteristics and the Cauchy problem * A proof of the Cauchy-Kowalevski theorem for linear systems * A self-contained development of tools from Fourier analysis * Connections between the mathematics and physical interpretations of PDEs * Numerous exercises, many with solutions provided * Experimental, computer-based exercises designed to develop lines of inquiry. The treatment of second order PDEs focuses on … read more...
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