Mathematical Physics II
by Boris Dubrovin
Publisher: SISSA 2008
Number of pages: 78
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
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by G.Sardanashvily - arXiv
We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. This is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and systems with time-dependent parameters.
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 is useful for anyone wishing to study advanced Physics.
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The reason for my choosing the partial differential equations as the subject for these lectures is my wish to inspire in my audience a love for Mathematics. I give a brief historical account of the application of Mathematics to natural phenomena.
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