The text introduces the reader to an area of theoretical elementary particle physics which has been the subject of intensive research since the 1970s. Its purpose is to provide graduate students with basic theoretical knowledge of quantum field theories, formulated on a time-space lattice, as well as the computational tools for carrying out research in this field. Special emphasis is placed on explaining in detail many concepts which students have problems with when atending for the first time a course on lattice guage field theories. The material covered should enable the reader to follow the vast amount of literature on this subject without too much difficulty.