Mathematical Methods for Physicists
Academic Press, Inc., San Diego, Third edition, (1985)Abstract
A textbook on mathematical physics. Chapter titles are: vector
analysis; coordinate systems; tensor analysis; determinants,
matrices, and group theory; infinite series; functions of a
complex variable I; functions of a complex variables II
--- calculus of residues; differential equations;
Sturm-Liouville theory --- orthogonal functions; the gamma
function (factorial function); Bessel functions; Legendre
functions; special functions; Fourier series; integral
transforms; integral equations; calculus of
variations. Appendices on real zeroes of a function, and
Gaussian quadrature are also included.