Functional analysis is the discipline which has arisen out of the attempt to extract from diverse problems of analysis their common underlying features and to develop an abstract theory which is applicable to these diverse problems as particular cases. The purpose of the course is to introduce students to part of the vast field of functional anlysis in such a manner that they will see that the theory was stimulated by concrete problems. The course should also be helpful to students of disciplines other than mathematics who must make effective use of a somewhat limited mathematical training. The course covers Hilbert spaces, the theory of compact operators, Banach spaces, the closed graph theorem, the Hahn-Banach theorem, Fourier series and Plancherel's theorem.

Note: Students wishing to enrol in Level III Higher Pure Mathematics courses should consult with the Pure Mathematics Department before enrolling.