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


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

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

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