Numerical Methods and Applications

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Key Feature Numerous examples and problems are solved using either computations by hand, by using a calculator, or utilizing mathematical packages such as Matlab, Maple, and Mathematica Throughout the book, computer problems designated as Student Research Projects suggest opportunities for students to explore topics beyond the scope of the book Table of Contents 1. Introduction 2. Floating-point representation and errors 3. Locating roots of equations 4. Interpolation and numerical differentiation 5. Numerical integration 6. Additional topics on numerical integration 7. Systems of linear equations 8. Additional topics concerning systems of linear equations 9. Approximation by spline functions 10. Ordinary differential equations 11. Systems of ordinary differential equations 12. Smoothing of data and the method of least squares 13. Monte carlo methods and simulation 14. Boundary-value problems for ordinary differential 15. Partial differential equations 16. Minimization of functions