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 Ferdi Aryasetiawan - University of Lund
The text deals with basic Group Theory and its applications. Contents: Abstract Group Theory; Theory of Group Representations; Group Theory in Quantum Mechanics; Lie Groups; Atomic Physics; The Group SU2: Isospin; The Point Groups; The Group SU3.
by Eric L. Michelsen - UCSD
This text covers some of the unusual or challenging concepts in graduate mathematical physics. This work is meant to be used with any standard text, to help emphasize those things that are most confusing for new students.
by J.F. Carinena, J. de Lucas - arXiv
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping.
by B. Eynard - arXiv.org
This is an introductory course about random matrices. These notes will give the reader a smell of that fascinating tool for physicists and mathematicians that are Random Matrices, and they can give the envy to learn and search more.