Synopses & Reviews
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
About the Author
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.
Table of Contents
1. Introduction 2. Classification and Characteristics 3. Qualitative Behavior of Solutions to Elliptic Equations 4. Qualitative Behavior of Solutions to Evolution Equations 5. First-Order Equations 6. Eigenfunction Expansions and Integral Transforms: Theory 7. Eigenfunction Expansions and Integral Transforms: Applications 8. Green's Functions 9. Difference Methods for Parabolic Equations 10. Difference and Characteristic Methods for Parabolic Equations 11. Difference Methods for Hyperbolic Equations 12. Difference Methods for Elliptic Equations 13. Variational Formulation of Boundary Value Problems 14. The Finite Element Method: An Introduction