Steven Chapra’s Applied Numerical Methods with MATLAB, second edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates.

The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.

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

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

Steven C. Chapra / Raymond P. Canale

2nd Edition

007313290X | 9780073132907

eBook | Solution Manual

English

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