Numerical Methods for Engineers,

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.. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering. New Features include:This new edition has updated many of its problems and replaced many others with new and current problems; the higher level material has been streamlined and some has been eliminated completely. Table of Contents Preface About the Authors Part I: 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 Epilogue: Part I Part II: Roots of Equations 5. Bracketing Methods 6. Open Methods 7. Roots of Polynomials 8. Engineering Application: Roots of Equations Epilogue: Part II Part III: Linear Algebraic Equations 9. Gauss Elimination 10. LU Decomposition and Matrix Inversion 11. Special Matrices and Gauss-Seidel 12. Engineering Applications: Linear Algebraic Equations Epilogue: Part III Part IV: Optimization 13. one-dimensional Unconstrained Optimization 14. Multidimensional Unconstrained Optimization 15. Constrained Optimization 16. Engineering Applications: Optimization Epilogue: Part IV Part V: Curve Fitting 17. Least-Squares Regression 18. Interpolation 19. Fourier Approximation 20. Engineering Applications: Curve Fitting Epilogue: Part IV Part VI: Numerical Differentiation and Integration 21. Newton-Cotes Integration Formulas 22. Integration of Equations 23. Numerical Differentiation 24. Engineering Applications: Numerical Integration and Differentiation Epilogue: Part VI Part VII: Ordinary Differential Equations 25. Runge-Kutta Methods 26. Stiffness and Multistep Methods 27. Boundary-Value and Eigenvalue Problems 28. Engineering Applications: Ordinary Differential Equations Epilogue: Part VII Part VIII: Partial Differential Equations 29. Finite Difference: Elliptic Equations 30. Finite Difference: Parabolic Equations 31. Finite-Element Method 32. Engineering Applications: Partial Differential Equations Epilogue: Part VIII Appendixes: Appendix A: The Fourier Series Appendix B: Getting Started with MATLAB Bibliography Index