The ideal review for your partial differential equations course
More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice.
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
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
