Lectures on Nonlinear Waves And Shocks
by Cathleen S. Morawetz
Publisher: Tata Institute Of Fundamental Research 1981
Number of pages: 126
Lecture notes on introduction to certain aspects of gas dynamics concentrating on some of the currently most important nonlinear problems, important not only from the engineering or computational point of view but also because they offer great mathematical challenges.
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by Vojkan Jaksic - McGill University
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
by Albert Tarantola - Springer
Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.
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This is a comprehensive and precise coverage of the mathematical concepts and tools used in present theoretical physics: differential geometry, Lie groups, fiber bundles, Clifford algebra, differential operators, normed algebras, connections, etc.
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The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.