Description
Book SynopsisExploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.
Table of Contents
- Preface to the Classics Edition
- Preface
- Errata
- Introduction
- Chapter 1: Number Systems and Errors
- Chapter 2: Interpolation by Polynomial
- Chapter 3: The Solution of Nonlinear Equations
- Chapter 4: Matrices and Systems of Linear Equations
- Chapter 5: Systems of Equations and Unconstrained Optimization
- Chapter 6: Approximation
- Chapter 7: Differentiation and Integration
- Chapter 8: The Solution of Differential Equations
- Chapter 9: Boundary Value Problems
- Appendix: Subroutine Libraries
- Appendix: New MATLAB Programs
- References
- Index