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Numerical Methods for Engineers Ise 8e - Steven Chapra 9781260571387

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Table of contents
Part 1 - Modeling, Computers, and Error Analysis

1) Mathematical Modeling and Engineering Problem Solving
2) Programming and Software
3) Approximations and Round-Off Errors
4) Truncation Errors and the Taylor Series

Part 2 - Roots of Equations

5) Bracketing Methods
6) Open Methods
7) Roots of Polynomials
8) Case Studies: Roots of Equations

Part 3 - Linear Algebraic Equations

9) Gauss Elimination
10) LU Decomposition and Matrix Inversion
11) Special Matrices and Gauss-Seidel
12) Case Studies: Linear Algebraic Equations

Part 4 - Optimization

13) One-Dimensional Unconstrained Optimization
14) Multidimensional Unconstrained Optimization
15) Constrained Optimization
16) Case Studies: Optimization

Part 5 - Curve Fitting

17) Least-Squares Regression
18) Interpolation
19) Fourier Approximation
20) Case Studies: Curve Fitting

Part 6 - Numerical Differentiation and Integration

21) Newton-Cotes Integration Formulas
22) Integration of Equations
23) Numerical Differentiation
24) Case Studies: Numerical Integration and Differentiation

Part 7 - Ordinary Differential Equations

25) Runge-Kutta Methods
26) Stiffness and Multistep Methods
27) Boundary-Value and Eigenvalue Problems
28) Case Studies: Ordinary Differential Equations

Part 8 - Partial Differential Equations

29) Finite Difference: Elliptic Equations
30) Finite Difference: Parabolic Equations
31) Finite-Element Method
32) Case Studies: Partial Differential Equations

Appendix A - The Fourier Series
Appendix B - Getting Started with Matlab
Appendix C - Getting Starte dwith Mathcad

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