Published by Pearson (August 6, 2018) © 2019
R. Nagle | Edward Saff | Arthur Snider
Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software.
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- 1. Introduction
- 2. First-Order Differential Equations
- 3. Mathematical Models and Numerical Methods Involving First Order Equations
- 4. Linear Second-Order Equations
- 5. Introduction to Systems and Phase Plane Analysis
- 6. Theory of Higher-Order Linear Differential Equations
- 7. Laplace Transforms
- 8. Series Solutions of Differential Equations
- 9. Matrix Methods for Linear Systems
- 10. Partial Differential Equations
- Appendix A Newton's Method
- Appendix B Simpson's Rule
- Appendix C Cramer's Rule
- Appendix D Method of Least Squares
- Appendix E Runge-Kutta Procedure for n Equations