Grid generation codes represent an indispensable tool for solving field prob­ lems in nearly all areas of applied mathematics. The use of these grid codes significantly enhances the productivity and reliability of the numerical analy­ sis of problems with complex geometry and complicated solutions. The science of grid generation is rather young and is still growing fast; new developments are continually occurring in the fields of grid methods, codes, and practical applications. Therefore there exists an evident need of students, researchers, and practitioners in applied mathematics for new books which coherently complement the existing ones with a description of new developments in grid methods, grid codes, and the concomitant areas of grid technology. The objective of this book is to give a clear, comprehensive, and easily learned description of all essential methods of grid generation technology for two major classes of grids: structured and unstructured. These classes rely on two somewhat opposite basic concepts. The basic concept of the former class is adherence to order and organization, while the latter is based on the absence of any restrictions. The present monograph discusses the current state of the art in methods of grid generation and describes new directions and new techniques aimed at the enhancement of the efficiency and productivity of the grid process. The emphasis is put on mathematical formulations, explanations, and examples of various aspects of grid generation.