Preface
Part One. Modeling, Computers, and Error Analysis
Chapter 1. Mathematical Modeling, Numerical Methods, and Problem Solving
Chapter 2. Python Fundamentals
Chapter 3. Programming in Python
Chapter 4. Roundoff and Truncation Errors
Part Two. Roots and Optimization
Chapter 5. Roots: Bracketing Methods
Chapter 6. Roots: Open Methods
Chapter 7. Optimization
Part Three. Linear Systems
Chapter 8. Linear Algebraic Equations and Matrices
Chapter 9. Gauss Elimination
Chapter 10. LU Factorization
Chapter 11. Matrix Inverse and Condition
Chapter 12. Iterative Methods
Chapter 13. Eigenvalues
Part Four. Curve Fitting
Chapter 14. Straight-Line Linear Regression
Chapter 15. General Linear and Nonlinear Regression
Chapter 16. Fourier Analysis
Chapter 17. Polynomial Interpolation
Chapter 18. Splines and Piecewise Interpolation
Part Five. Integration and Differentiation
Chapter 19. Numerical Integration Formulas
Chapter 20. Numerical Integration of Functions
Chapter 21. Numerical Differentiation
Part Six. Ordinary Differential Equations
Chapter 22. Initial-Value Problems
Chapter 23. Adaptive Methods and Stiff Systems
Chapter 24. Boundary-Value Problems
Appendix A. Matplotlib
Appendix B. Cubic spline smoothing
Appendix C. Python built-in keywords: functions, methods, operators, types
Appendix D. Python functions and scripts presented in the text
Bibliography

*The digital edition does not include access codes to additional material or programs mentioned in the book.