ISE Numerical Methods for Engineers

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

Bibliography

Index

The eighth edition of Chapra and Canale's Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. The book covers the standard numerical methods employed by both students and practicing engineers. Although relevant theory is covered, the primary emphasis is on how the methods are applied for engineering problem solving. Each part of the book includes a chapter devoted to case studies from the major engineering disciplines. Numerous new or revised end-of chapter problems and case studies are drawn from actual engineering practice. This edition also includes several new topics including a new formulation for cubic splines, Monte Carlo integration, and supplementary material on hyperbolic partial differential equations.