Numerical Analysis – Burden & Faires – 7th Edition

Description

The new Seventh Edition of Burden and Faires’ well-respected Numerical provides a foundation in modern numerical-approximation techniques. Explaining how; why; and when the techniques can be expected to work; the Seventh Edition places an even greater emphasis on readers’ intuition to help them understand why the techniques presented work in general; and why; in some situations; they fail.

Applied from diverse areas; such as engineering and physical; computer; and biological sciences; are provided so readers can understand how numerical are used in real-life situations. The Seventh Edition has been updated and now addresses the evolving use of technology; incorporating it whenever appropriate.

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Table of Contents

1. Mathematical Preliminaries.
2. Solutions of Equations of One Variable.
3. Interpolation and Polynomial Approximation.
4. Numerical Differentiation and Integration.
5. Initial-Value Problems for Ordinary Differential Equations.
6. Direct Methods for Solving Linear Systems.
7. Iterative Techniques in Matrix Algebra.
8. Approximation Theory.
9. Approximating Eigenvalues.
10. Numerical Solutions of Nonlinear Systems of Equations.
11. Boundary-Value Problems for Ordinary Differential Equations.
12. Numerical Solutions to Partial-Differential Equations.

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