TY - BOOK AU - Chapra, Steven C. AU - Canale, Raymond P TI - Numerical methods for engineers : with programming and software applications SN - 9780071158954 U1 - 519.4 PY - 1998/// CY - Boston : PB - WCB/McGraw-Hill, KW - Engineering mathematics -- Data processing N1 - Bibliography & index; pt. 1. Modeling, Computers, and Error Analysis. Ch. 1. Mathematical Modeling and Engineering Problem-Solving. Ch. 2. Computers and Software. Ch. 3. Approximations and Round-Off Errors. Ch. 4. Truncation Errors and the Taylor Series -- pt. 2. Roots of Equations. Ch. 5. Bracketing Methods. Ch. 6. Open Methods. Ch. 7. Roots of Polynomials. Ch. 8. Engineering Applications: Roots of Equations -- pt. 3. Linear Algebraic Equations. Ch. 9. Gauss Elimination. Ch. 10. LU Decomposition and Matrix Inversion. Ch. 11. Special Matrices and Gauss-Seidel. Ch. 12. Engineering Applications: Linear Algebraic Equations -- pt. 4. Optimization. Ch. 13. One-dimensional Unconstrained Optimization. Ch. 14. Multidimenslonal Unconstrained Optimization. Ch. 15. Constrained Optimization. Ch. 16. Engineering Applications: Optimization -- pt. 5. Curve Fitting. Ch. 17. Least-Squares Regression. Ch. 18. Interpolation. Ch. 19. Fourier Approximation. Ch. 20. Engineering Applications: Curve Fitting. pt. 6. Numerical Differentiation and Integration. Ch. 21. Newton-Cotes Integration of Equations. Ch. 22. Integration of Equations. Ch. 23. Numerical Differentiation. Ch. 24. Engineering Applications: Numerical Integration and Differentiation -- pt. 7. Ordinary Differential Equations. Ch. 25. Runge-Kutta Methods. Ch. 26. Stiffness and Multistep Methods. Ch. 27. Boundary-Value and Eigenvalue Problems. Ch. 28. Engineering Applications: Ordinary Differential Equations -- pt. 8. Partial Differential Equations. Ch. 29. Finite Difference: Elliptic Equations. Ch. 30. Finite Difference: Parabolic Equations. Ch. 31. Finite Element Method. Ch. 32. Engineering Applications: Partial Differential Iquations -- App. A. The Fourier Series -- App. B. Getting Started with Mathcad -- App. C. Getting Started With Matlab N2 - This edition of the award-winning text includes new sections on major software packages, optimisation and roots of polynomials. The examples and case studies span all engineering disciplines, and over 500 problems are drawn from engineering practice ER -