Mathematical Methods of Physics
Publisher: Wikibooks 2017
Number of pages: 98
Mathematical methods of Physics is 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 will be useful for anyone wishing to study advanced Physics.
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by Max Lein - arXiv
These lecture notes give an overview of how to view and solve differential equations that are common in physics. They cover Hamilton's equations, variations of the Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.
by P. G. Ciarlet - Tata Institute of Fundamental Research
In this book a non-linear system of partial differential equations will be established as a mathematical model of elasticity. An energy functional will be established and existence results will be studied in the second chapter.
by Vadim Kuznetsov, Vladimir Kisil - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
by A. Zabrodin - arXiv.org
This is an introductory course on nonlinear integrable partial differential and differential-difference equations based on lectures given for students of Moscow Institute of Physics and Technology and Higher School of Economics.