Applied Numerical Methods with MATLAB for Engineers and Scientists 2nd edition, still brief - but with the chapters that you wanted - Steven Chapra’s new second edition is written for engineers and scientists who want to learn numerical problem solving. This text focuses on problem-solving (applications) rather than theory, using MATLAB, and is intended for Numerical Methods users; hence theory is included only to inform key concepts. The new second edition feature new material such as Numerical Differentiation and ODE's: Boundary-Value Problems.

Table of Contents

Part One Modeling, Computers, and Error Analysis
1. Mathematical Modeling Numerical Methods and Problem Solving
2. MATLAB Fundamentals
3. Programming with MATLAB
4. Roundoff and Trunication Errors
Part Two Roots and Optimization
5. Roots: Bracketing Methods
6. Roots: Open Methods
7. Optimization
Part Three Linear Systems
8. Linear Algebraic Equations and Matrices
9. Gauss Elimination
10. LU Factorization
11. Matrix Inverse and Condition
12. Iterative Methods
Part Four Curve Fitting
13. Linear Regression
14. General Linear Least-Squares and Non-Linear Regression
15. Polynomial Interpolation
16. Splines and Piecewise Interpolation
Part Five Integration and Differentiation
17. Numerical Integration Formulas
18. Numerical Integration of Functions
19. Numerical Differentiation
Part Six Ordinary Differential Equations
20. Initial-Value Problems
21. Adaptive Methods and Stiff Systems
22. Boundary-Value Problems
Appendix A: Eigenvalues
Appendix B: MATLAB Built-in Functions
Appendix C: MATLAB M-File Functions
Bibliography
Index