Lie Theory and Special Functions
by Willard Miller
Publisher: Academic Press 1968
Number of pages: 338
This monograph is the result of an attempt to understand the role played by special function theory in the formalism of mathematical physics. It demonstrates explicitly that special functions which arise in the study of mathematical models of physical phenomena are in many cases dictated by symmetry groups admitted by the models.
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From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).
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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.
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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.
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