Numerical Mathematics--Theory and Computer Applications.

Mathematical Introduction * Numerical Computation * Vectors and Matrices * Series Expansions * Orthogonal Functions * Linear Operators * Difference Equations * Special Functions * Laplace Transformation * Calculus of Variations Equations * Systems of Linear Equations * Nonlinear Equations and Systems of Equations * Algebraic Eigenvalue Problems * Linear Programming Approximation * Interpolation * Function Representation and Curve Fitting * The Monte Carlo Method Integration and Summation * Ordinary and Differential Equations * Partial Differential Equations * Integral Equations