This monograph is intended for scientists and engineers working in the field of radar and computational electrodynamics. The book content is the result of works by group of authors who represent the scientific school of applied electrodynamics that had been established in the 1960s by Professor I.V. Sukharevsky within the Govorov Military Radiotechnical Academy. Representatives of this school went on studying electromagnetic wave scattering from objects of various nature consequently in Kharkiv Military University, United Scientific Research Institute of Ukrainian Armed Forces, and Kharkiv Ivan Kozhedub University of Air Force. An important place the study of radar scattering from airborne and ground objects takes in the whole field radar predetermined the main monograph's content. In the first place it is the number of generalizations to the key postulates of classical electrodynamics theory that needed to be introduced in order to provide grounds for the methods of radar object scattering computation developed later on. Basic results regarding development of both the electrodynamics theory and numerical computation methods are of original nature and they are presented in the first two chapters of the monograph. The third chapter, which is given as a reference, is intended for consumers, i.e. engineers pursuing the design of radar detection and identification algorithms with regard to airborne and ground objects. The chapter contains great deal of reference material obtained by computation: circular diagrams of radar backscattering; mean and median RCS values of various objects; probability distributions of echo signal amplitude given various parameters of illumination and various kinds of underlying surface (for ground objects); impulse responses of various airborne and ground objects given their illumination with wideband signals. The book can be useful to a wide audience: scientists concerned with development of electromagnetic wave scattering theory, computational electrodynamics specialists, as well as to radio physics engineers pursuing development of radar detection and identification algorithms of radar objects.