An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
by William Elwood Byerly
Publisher: Ginn and company 1893
Number of pages: 309
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; Laplace's Equation in Curvilinear Coordinates. Ellipsoidal Harmonics.
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by Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
by Alex Madon - Wikibooks
The goal of this book is to propose an ensemble view of modern physics. The coherence between various fields of physics is insured by following two axes: a first is the universal mathematical language; the second is the study of the N body problem.
A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics.
by T.H. Havelock - Cambridge University Press
Table of contents: Simple groups and group velocity; The velocity of light; The Kelvin method for wave groups; Illustrations of group analysis; Action of a prism upon white light; The flow of energy; Propagation of wavefronts with discontinuities.