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 Pieter Naaijkens - arXiv
These are the lecture notes for a one semester course at Leibniz University Hannover. The main aim of the course is to give an introduction to the mathematical methods used in describing discrete quantum systems consisting of infinitely many sites.
by B. Eynard
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.
by Vicente Cortes, Alexander S. Haupt - arXiv
Topics include Lagrangian Mechanics, Hamiltonian Mechanics, Hamilton-Jacobi Theory, Classical Field Theory formulated in the language of jet bundles, field theories such as sigma models, gauge theory, and Einstein's theory of general relativity.
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.