TY - BOOK AU - Chapra,Steven C. TI - Applied numerical methods with MATLAB for engineers and scientists SN - 9780071259217 AV - QA297 .C4185 2008 PY - 2008/// CY - Boston PB - McGraw-Hill Higher Education KW - MATLAB KW - Textbooks KW - Numerical analysis KW - Data processing N1 - Includes bibliographical references and index; 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 ER -