Numerical Methods for Engineers

The Fourth Edition of Numerical Methods for Engineers continues the tradition of excellence it established as the winner of the ASEE Meriam/Wiley award for BestTextbook. Instructors love it because it is a comprehensive text that is easy to teach from. Students love it because it is written for them—with great pedagogy and clear explanations and examples throughout. This edition features an even broader array of applications, including all engineering disciplines. The revision retains the successful pedagogy of the prior editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the student for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called Trade-Offs, Important Relationships and Formulas, and Advanced Methods and Additional References. Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. What's new in this edition? A shift in orientation toward more use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros. In addition, the text has been updated to reflect improvements in MATLAB and Excel since the last edition. Also, many more, and more challenging problems are included. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical

The new edition retains the clear explanations and engineering.

Features

• There are elegantly rendered examples that the book is known for. approximately 150 new, challenging problems drawn from all engineering
• There are completely new sections on a number of topics including disciplines.
• The website will multiple integrals and the modified false position method. provide additional materials, such as programs, for student and faculty use, and will allow users to communicate directly with the authors.

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 Engineering Applications: Roots of Equations

Part 3 Linear Algebraic Equations

9 Gauss Elimination

10 LU Decomposition and Matrix Inversion

11 Special Matrices and Gauss-Seidel

12 Engineering Applications: Linear Algebraic Equations

Part 4 Optimization

13 One-Dimensional Unconstrained Optimization

14 Multidimensional Unconstrained Optimization

15 Constrained Optimization

16 Engineering Applications: Optimization

Part 5 Curve Fitting

17 Least-Squares Regression

18 Interpolation

19 Fourier Approximation

20 Engineering Applications: Curve Fitting

Part 6 Numerical Differentiation and Integration

21 Newton-Cotes Integration Formulas

22 Integration of Equations

23 Numerical Differentiation

24 Engineering Applications: 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 Engineering Applications: Ordinary Differential Equations

Part 8 Partial Differential Equations

29 Finite Difference: Elliptic Equations

30 Finite Difference: Parabolic Equations

31 Finite-Element Method

32 Engineering Applications: Partial Differential Equations

Appendix A The Fourier Series

Appendix B Getting Started with Matlab

Bibliography

Index