Group theory and physics

The aim of the book is to state in the popular form problems and methods of the group theory, to depict the group theory role on the physics development and to elucidate which possibilities have been incorporated in it for using in future physical research. The book contains the necessary data on linear algebra and quantum mechanics. A number of problems, which the applied group theory studies, has been considered, notions of ''a problem'', ''symmetry'' and ''problem symmetry'' have been refined. 2 properties of symmetry operations have been demonstrated: group properties and linearity properties. Problems having a symmetry group in the form of a rotations group have been considered, its irreducible representations, vector and tensor representations have been obtained. A physical field classification based on representations of the rotations group is given. Transformations of quantum system wave functions are shown in transition from one coordinate system to another. A number of aspects of the theory of finite group representations is stated as applied to problems of small oscillations of mechanical systems