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Edition: 2ND 08

Copyright: 2008

Publisher: McGraw-Hill Publishing Company

Published: 2008

International: No

Copyright: 2008

Publisher: McGraw-Hill Publishing Company

Published: 2008

International: No

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Steven Chapra's new second edition, Applied Numerical Methods with MATLAB for Engineers and Scientists, is written for engineers and scientists who want to learn numerical problem solving. This text focusesn problem-solving (applications) rather than theory, using MATLAB, and is intended for Numerical Methods users; hence theory is includednly to inform key concepts. The new second edition feature new material such as Numerical Differentiation andDE's: Boundary-Value Problems.

**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

Summary

Steven Chapra's new second edition, Applied Numerical Methods with MATLAB for Engineers and Scientists, is written for engineers and scientists who want to learn numerical problem solving. This text focusesn problem-solving (applications) rather than theory, using MATLAB, and is intended for Numerical Methods users; hence theory is includednly to inform key concepts. The new second edition feature new material such as Numerical Differentiation andDE'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

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 2008

International: No

Published: 2008

International: No

**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