Applied Numerical Methods for Engineers and Scientists, 1st edition

Published by Pearson (September 19, 2001) © 2002

  • Singiresu S. Rao University of Miami
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For courses in Numerical Methods at junior/senior level

This book is also suitable for beginning graduate levels and as a reference for numerical methods in engineering.

The availability of inexpensive high-speed computing power makes the numerical solution of even complex engineering problems economically feasible. In the face of ever-increasing demands on the engineering profession to perform better, students preparing to face challenges should learn not only the theory behind the numerical methods, but also acquire the skills needed to implement the methods for computer solution. In addition, students need to be aware of the many commercial software systems available and their appropriate uses in the solution of engineering problems. The student should be in a position to intelligently select and use suitable numerical methods and software systems as the need arises in practice.

  • 1. Introduction to Numerical Methods
  • 2. Solution of Nonlinear Equations
  • 3. Solution of Simultaneous Linear Algebraic Equations
  • 4. Solution of Matrix Eigenvalue Problem
  • 5. Curve Fitting and Interpolation
  • 6. Statistical Methods
  • 7. Numerical Differentiation
  • 8. Numerical Integration
  • 9. Ordinary Differential Equations: Initial-Value Problems
  • 10. Ordinary Differential Equations: Boundary-Value Problems
  • 11. Partial Differential Equations
  • 12. Optimization
  • 13. Finite-Element Method
  • Appendix A: Basics of Fortran 90
  • Appendix B: Basics of C Language
  • Appendix C: Basics of MAPLE
  • Appendix D: Basics of MATLAB
  • Appendix E: Basics of MathCAD
  • Appendix F: Review of Matrix Algebra
  • Appendix G: Statistical Tables
  • Index

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