Advanced Mathematics II (PhD)

References:
1. Advanced Mathematics for Applications, A. Prosperetti
2. Mathematical Methods for Physicists, G.B.Arfken
3. Perturbation Methods, A.H.Nayfeh
4. Perturbation Methods for Differential Equations, B.K.Shivamoggi
5. Introduction to perturbation methods, M.H.Holmes 
6. Singular Perturbation Methods for ODEs, R.E.OMalley, Jr.
7. Perturbation Methods in Fluid Mechanics, M.Van Dyke
8. Linear and nonLinear Integral Equations, A.M.Wazwaz
9. Functional Analysis, Abul Hasan Siddiqi

Contents:
1. Introduction (Arfken, Ch.9-11)
2. Perturbation methods (Nayfeh, Shivamoggi, Holmes)
3. Integral Equations (Wazwaz)
4. Functional Analysis (Siddiqi)