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The lectures focus on a variety of topics related to engineering logic, including the use of the logical matrix as an auxiliary to the construction of various types of codes. Elementary logical circuits for synchronous systems are also considered, with emphasis on \"two-wire\" systems based on static flip-flops and having various phase structures. Comprised of seven chapters, this volume begins with an introduction to the logical matrix, a form of representation of logical functions that permits rapid and clear solution of varied problems in logical design. The discussion then turns to elementary logical circuits for synchronous systems and their physical properties, with particular reference to contacts, diodes, and transistors as well as phase structures and diode-gated flip-flops for single-phase and two-phase applications. 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Some classes of functions and operators are discussed, along with the reduction of a positive differential quadratic form to the canonical form. Boundary value problems and infinitesimal bendings of surfaces are also considered. Comprised of six chapters, this volume begins with a detailed treatment of various problems of the general theory of generalized analytic functions as as well as boundary value problems. The reader is introduced to some classes of functions and functional spaces, with emphasis on functions of two independent variables. Subsequent chapters focus on the problem of reducing a positive differential quadratic form to the canonical form; basic properties of solutions of elliptic systems of partial differential equations of the first order, in a two-dimensional domain; and some boundary value problems for an elliptic system of equations of the first order and for an elliptic equation of the second order, in a two-dimensional domain. 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