Numerical Analysis – Richard L. Burden, J. Douglas Faires – 9th Edition

Description

This highly respected text provides an introduction to the theory and application of modern numerical techniques for students taking a one or two semester in numerical analysis. With an accessible treatment that only requires a computational requirement, Burden’s Numerical Analysis and Faires explains how, why, and when approximation techniques can be expected to work and why, in some situations, they fail.

A wealth of examples and exercises develop intuition and demonstrate practical applications of the subject to important everyday problems in mathematics, computer science, engineering, and disciplines.

The first book of its kind built from the bottom up to serve a diverse audience of students, three decades later Numerical Analysis of Burden and Faires remains the definitive introduction to a vital and practical subject.

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Table of Contents

1. Preliminary Mathematics and Error Analysis.
2. Solutions of equations of a variable.
3. Interpolation and approximation polynomial.
4. Numerical differentiation and integration.
5. Problems with initial values for ordinary differential equations.
6. Direct methods for solving linear systems.
7. Iterative techniques in matrix algebra.
8. Approximation theory.
9. Approximation of eigenvalues.
10. Numerical solutions of systems of nonlinear equations.
11. Problems with border values for ordinary differential equations.
12. Numerical solutions to partial differential equations.

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