Overview
Main description
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 difficulty
- Clear, 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 equations
- Appropriate for the following courses: Partial Differential Equations I, Partial Differential Equations II, Applied Math I, Applied Math II
- Complete course content in easy-to-follow outline form.
- Hundreds of solved problems
Table of contents
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
Author comments
Paul DuChateau, Ph.D. is currently Professor of Mathematics at Colorado State University in Fort Collins, Colorado. He received his B.Sc. in engineering science and his Ph.D. in mathematics at Purdue University in 1962 and 1970 respectively. In addition to teaching, he has worked as an applied mathematician for General Motors and United Aircraft corporations and has held visiting positions at Argonne National laboratory. He has received government funding for research in applied mathematics and has published extensively in the area of partial differential equations.
David W. Zachmann, Ph.D. is Professor of Mathematics at Colorado State University. He received his Ph.D. in applied mathematics from the University of Arizona in 1970 and his B.S. in mathematics from Colorado State University in 1965. During 1983 he was a visiting senior research scientist at the CSIRO Environmental Mechanics Division in Canberra, Australia. His research in applied mathematics has been supported by various government agencies. In addition to his teaching and research activities, he frequently serves as a consultant to industry and government.
