Spherical Harmonics and Tensors for Classical Field Theory (Electronic & Electrical Engineering Research Studies

By M. N. Jones

Subjects: Calculus of tensors, Fluid mechanics., Mathematical analysis, Group theory, Spherical harmonics, Partial differential equations, Field theory (Physics)

Description: Presents the theory of spherical harmonics in a form suitable for the analysis of non-separable, nonlinear, partial differential equations, defined in a spherical or infinite domain. Describes and develops those aspects of group theory that are relevant to classical field theory. Each harmonic is labeled by a particular irreducible representation of the three-dimensional rotation group. Shows how to apply tensor harmonic techniques to all branches of classical field theory, including fluid mechanics, electromagnetism, geophysics and the atmospheric sciences.