Elementary Differential Equations with Boundary Value Problems : United States Edition
For courses in differential equations.This book, with enough material for 2 terms, provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics students take following calculus. This is a strongly algebraic-oriented text with some computer enhancements for numerical methods.Matters of definition, classification, and logical structure deserve (and receive here) careful attention for the first time in the mathematical experience of many of the students. While it is neither feasible nor desirable to include proofs of the fundamental existence and uniqueness theorems along the way in an elementary course, students need to see precise and clear-cut statements of these theorems, and understand their role in the subject. Appropriate existence and uniqueness proofs in the Appendix are included, and referred to where appropriate in the main body of the text.
- Hardback | 697 pages
- 208.3 x 231.1 x 30.5mm | 1,406.15g
- 14 Oct 1999
- Pearson Education (US)
- United States
- 4th edition
Table of contents
1. First-Order Differential Equations. 2. Linear Equations of Higher Order. 3. Power Series Methods. 4. Laplace Transform Methods. 5. Linear Systems of Differential Equations. 6. Numerical Methods. 7. Nonlinear Systems and Phenomena. 8. Fourier Series Methods. 9. Eigenvalues and Boundary Value Problems.