Weighted Polynomial Approximation and Numerical Methods for Integral Equations

- Introduction. - Basics from Linear and Nonlinear Functional Analysis. - Weighted Polynomial Approximation and Quadrature Rules on (−1, 1). - Weighted Polynomial Approximation and Quadrature Rules on Unbounded Intervals. - Mapping Properties of Some Classes of Integral Operators. - Numerical Methods for Fredholm Integral Equations. - Collocation and Collocation-Quadrature Methods for Strongly Singular Integral Equations. - Applications. - Hints and Answers to the Exercises. - Equalities and Inequalities.