Synopses & Reviews
Provides a thorough and comprehensive introduction to the major topics of numerical analysis, for example, the solution of linear and non-linear equations, eigenvalue problems, approximation theory, quadrature, the numerical solution of ordinary differential equations and partial differential equations, and optimization. Each chapter gives a sound graded introduction to the topic, followed by up-to-date coverage of the more advanced areas. Contains a wealth of exercises, with selected hints and answers, ranging from those soluble by hand or a simple calculator to more extensive computer-oriented examples.
Description
Includes bibliographical references (p. [441]-446) and indexes.
Table of Contents
Introduction to Numerical Processes and Non-Linear Equations.
Differences, Interpolation and Differentiation.
Solution of Algebraic Equations.
Algebraic Eigenvalue Problem.
Approximation Theory.
Quadrature.
Ordinary Differential Equations.
Integral Equations.
Partial Differential Equations.
Optimization Methods.
Appendices.
References.
Indexes.