This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Linear Systems * Error Analysis * Linear Least Squares Problems * Nonlinear Systems and Least Squares Problems * Linear Eigenvalue Problems * Three-term Recurrence Relations * Interpolation and Approximation * Large Symmetric Systems of Equations and Eigenvalue Problems * Definite Integrals * References * Software * Index

2nd edition