Front Cover; Theoretical Numerical Analysis; Copyright Page; Preface; Table of Contents; Preliminaries; THEORETICAL NUMERICAL ANALYSIS; Chapter 1. Interpolation and Quadrature; 1.1. HERMITE INTERPOLATION; 1.2. LAGRANGE INTERPOLATION AND NEWTON-COTES QUADRATURE; 1.3. ORTHOGONAL POLYNOMIALS AND GAUSSIAN QUADRATURE; 1.4. NONANALYTIC INTERPOLATION AND ASSOCIATED QUADRATURE; EXERCISES; COMPUTER PROBLEMS; NOTES; Chapter 2. Approximation; 2.1. DEGREE OF APPROXIMATION BY POLYNOMIALS; 2.2 APPROXIMATION BY INTERPOLATION; 2.3. CHEBYSHEV APPROXIMATION; 2.4. AN ALGORITHM FOR CHEBYSHEV APPROXIMATION

APPENDIXEXERCISES; COMPUTER PROBLEMS; NOTES; Chapter 3. Ordinary Differential Equations; 3.1. THE INITIAL VALUE PROBLEM; 3.2. AN INHOMOGENEOUS BOUNDARY VALUE PROBLEM; 3.3. A HOMOGENEOUS BOUNDARY VALUE PROBLEM; EXERCISES; COMPUTER PROBLEMS; NOTES; Chapter 4. Solution of Equations; 4.1. MATRIX INVERSION BY TRIANGULAR DECOMPOSITION; 4.2. THE MATRIX EIGENVALUE PROBLEM; 4.3. LINEAR ITERATIVE METHODS; 4.4. ITERATIVE METHODS FOR NONLINEAR SYSTEMS; EXERCISES; COMPUTER PROBLEM; NOTES; Chapter 5. Partial Differential Equations; 5.1. FIRST ORDER SYSTEMS; 5.2. THE HEAT EQUATION; 5.3. STABILITY

5.4. THE MAXIMUM PRINCIPLEEXERCISES; NOTES; References; Additional Reading; AUTHOR INDEX; SUBJECT INDEX