The ideal review for your partial differential equations course
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290 fully worked problems of varying difficultyClear, concise explanations of differential and difference methods Help with variation formulation of boundary value problems and variation approximation methods Outline format supplies a concise guide to the standard college course in partial differential equationsAppropriate for the following courses: Partial Differential Equations I, Partial Differential Equations II, Applied Math I, Applied Math IIComplete course content in easy-to-follow outline form.Hundreds of solved problems
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1. Introduction2. Classification and Characteristics3. Qualitative Behavior of Solutions to Elliptic Equations4. Qualitative Behavior of Solutions to Evolution Equations5. First-Order Equations6. Eigenfunction Expansions and Integral Transforms: Theory7. Eigenfunction Expansions and Integral Transforms: Applications8. Green's Functions9. Difference Methods for Parabolic Equations10. Difference and Characteristic Methods for Parabolic Equations11. Difference Methods for Hyperbolic Equations12. Difference Methods for Elliptic Equations13. Variational Formulation of Boundary Value Problems14. The Finite Element Method: An Introduction