A complete and modern picture of the basic principles of symmetry is given - rotation, Lorentz transformation, parity, unitary symmetry . The book is quite simple[edit] It is based on a course of lectures for graduate students, which the authors read for several years at the University of Bristol, UK. The presentation of each question begins with the establishment of basic principles and ends with specific applications. The book is intended for physicists engaged in the study of the atomic nucleus and elementary particles, undergraduate and postgraduate students of relevant specialties, university teachers . It will also be useful to those mathematicians and physicists who are interested in the application of the general principles of symmetry.