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Full Description
Exploring 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.
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



