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List of contents
1. An Introduction to MATLAB
2. Linear Equations and Eigensystems
3. Solution of Non-linear Equations
4. Differentiation and Integration
5. Solution of Differential Equations
6. Boundary Value Problems
7. Fitting Functions to Data
8. Optimisation Methods
9. Applications of the Symbolic Toolbox.
Appendix 1: Matrix Algebra
Appendix 2: Error Analysis
Appendix 3: Special Maple Functions
Appendix 4: MATLAB Functions
References
Solutions to Problems
Index
Summary
Suitable for modern numerical methods courses for third and fourth years of study. A good basic reference for postgraduates. Skillfully balancing rigor with practicality, this progressive and visually rich text on using MATLAB software explores how this modern and powerful computing technology can - in an elegant and efficient way - solve exacting and interesting problems that have application in science and industry. Encouraging systematic experimentation, it offers an extensive, hands-on study of MATLAB functions and exposes students to a wide range of numerical algorithms - including optimization and regression analysis with applications of symbolic methods - with full explanations of their fundamental principles and illustrations of their application.