Synopses & Reviews
"Applied Numerical Methods with MATLAB for Engineering and Science is the latest book by best-selling author Steve Chapra. The new text uses MATLAB as the primary computing environment and focuses on applications. Theory is included only when it has direct use to the student; i.e., when theory informs the concepts. Information relating to the limitations of methods and to choosing among different methods is stressed throughout the book. The book includes algorithms, but the algorithms will be presented as MATLAB M-Files, rather than pseudocode. Chapra's familiar instructor- and student-friendly style and pedagogical features are hallmarks of this highly anticipated new text.
Synopsis
Still brief - but with the chapters that you wanted - Steven Chapras new second edition is written for engineering and science students who need to learn numerical problem solving. This text focuses on problem-solving applications rather than theory, using
MATLAB throughout. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The new second edition feature new chapters on Numerical Differentiation, Optimization, and Boundary-Value Problems (ODEs).
About the Author
Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University.
Table of Contents
Part One Modeling, Computers, and Error Analysis 1. Mathematical Modeling Numerical Methods and Problem Solving 2. MATLAB Fundamentals 3. Programming with MATLAB 4. Roundoff and Trunication Errors Part Two Roots and Optimization 5. Roots: Bracketing Methods 6. Roots: Open Methods 7. Optimization Part Three Linear Systems 8. Linear Algebraic Equations and Matrices 9. Gauss Elimination 10. LU Factorization 11. Matrix Inverse and Condition 12. Iterative Methods Part Four Curve Fitting 13. Linear Regression 14. General Linear Least-Squares and Non-Linear Regression 15. Polynomial Interpolation 16. Splines and Piecewise Interpolation Part Five Integration and Differentiation 17. Numerical Integration Formulas 18. Numerical Integration of Functions 19. Numerical Differentiation Part Six Ordinary Differential Equations 20. Initial-Value Problems 21. Adaptive Methods and Stiff Systems 22. Boundary-Value Problems Appendix A: Eigenvalues Appendix B: MATLAB Built-in Functions Appendix C: MATLAB M-File Functions Bibliography Index