This is a brief but good introduction to operators, eigenvalues, and
linear vector spaces. The discussion starts out with motivating the
study of eigenvalues, which emerged from problems such as that of a
vibrating string, and other problems with boundary conditions. The book
then goes on to consider orthogonal functions and expansions,
Sturm-Liouville theory and linear operators, and the last chapter is on
vector spaces. Plus there are two appendices, one on Bessel cylindrical
functions and the other on Legendre functions and spherical harmonics.
Download Mathematics for Quantum Mechanics
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