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Theory and Applications of Partial Differential Equations (Mathematical Concepts in Science and Engineering)
Theory and Applications of Partial Differential Equations - Mathematical Concepts in Science and Engineering Author:Piero Bassanini, Alan R. Elcrat This masterful text introduces first-year graduate students to the basic ideas of the theory of partial differential equations in the context of the three fundamental equations of classical mathematical physics - the wave and heat equations and the Laplace equation. The authors avoid abstractions and succeed in demonstrating ideas by way of... more » relatively simple, straightforward applications. Their book also deals with more advanced topics, including - the De Giorgi-Nash-Moser theorem - nonlinear Dirichlet problems for elliptic equations - distributions and Sobolev spaces - and hyperbolic conservation laws in one space variable.« less