Симметрия и разделение переменных.

Monograph on the application of the method of separation of variables in partial differential equations and its connection with group theory (relationships between the Lie algebra of the symmetry of an equation, coordinate systems in which the equation allows separation of variables, and the properties of the resulting special functions), written by the American mathematics. All solutions with separated variables of a number of classical equations of mathematical physics (Laplace, Helmholtz, Klein-Gordon, Schrödinger equations) are found, and a large reference material on special functions is provided. For mathematicians, physicists, engineers, graduate students and students.