Numerical methods and optimization : an introduction /
Richard L. Burden, J. Douglas Faires and Annette M. Burden.
- Boca Raton, Florida : CRC Press, c2014
- xvi, 397 pages : illustrations ; 24 cm
Includes bibliographical references and index.
Mathematical preliminaries and error analysis -- Solutions of equations in one variable -- Interpolation and polynomial approximation -- Numerical differentiation and integration -- Initial-value problems for ordinary differential equations -- Direct methods for solving linear systems -- Iterative techniques in matrix algebra -- Approximation theory -- Approximating Eigenvalues -- Numerical solutions of nonlinear systems of equations -- Boundary-value problems for ordinary differential equations -- Numerical solutions to partial differential equations.
This text provides a basic introduction to numerical methods and optimization for undergraduate and beginning graduate students in engineering and operations research.