Classical and some new exact, approximate, and numerical methods for solving singular and hypersingular integral equations are presented in this book. The method for the analysis of hypersingular integral equations based on the theory of pseudodifferential operators is described. One-, two- and multi-dimensional integral equations are considered. The descrete closed vortex frame method and some other numerical methods for solving hypersingular integral equations are developed. Some problems of aerodynamics, elasticity, diffraction, heat and mass transfer, etc are considered. Copyright (C) Muze Inc. 2005. For personal use only. All rights reserved.