An Introduction to Scientific Computing with MATLAB® and Python Tutorials (Paperback)

1. Overview of Scientific Computing
2. Taylor’s Theorem
3. Roundoff Errors and Error Propagation
4. Direct Methods for Linear Systems
5. Root Finding for Nonlinear Equations
6. Interpolation
7. Numerical Integration
8. Numerical Differentiation
9. Initial Value Problems and Boundary Value Problems
10. Basic Iterative Methods for Linear Systems
11. Discrete Least Squares Problems
12. Monte Carlo Methods and Parallel Computing
Appendix A. An Introduction of Matlab for Scientific Computing
Appendix B. An Introduction of Python for Scientific Computing
Index