Web draft,2004. -205p
Books
E.T. Whittaker and G.N. Watson, A Course of Mode Analysis.
G. Arfken and H. Weber, Mathematical Methods for Physicists.
P.M. Morse and H. Feshbach, Methods of Theoretical Physics.
First-order and second-order differential equations.
Wronskian.
series solutions.
ordinary and singular points.
Orthogonal eigenfunctions and Sturm-Liouville theory.
Complex analysis.
contour integration.
Integral representations for solutions of ODE’s.
Asymptotic expansions.
Methods of stationary phase and steepest descent.
Generalised functions.
Books
E.T. Whittaker and G.N. Watson, A Course of Mode Analysis.
G. Arfken and H. Weber, Mathematical Methods for Physicists.
P.M. Morse and H. Feshbach, Methods of Theoretical Physics.
First-order and second-order differential equations.
Wronskian.
series solutions.
ordinary and singular points.
Orthogonal eigenfunctions and Sturm-Liouville theory.
Complex analysis.
contour integration.
Integral representations for solutions of ODE’s.
Asymptotic expansions.
Methods of stationary phase and steepest descent.
Generalised functions.