modules
| Module title: | Functional Analysis |
|---|---|
| Module code | MTHM001 |
| Module lecturers: | Dr Houry Melkonian |
| Module credits: | 15 |
Functional Analysis is an abstract theory that studies mathematical structures from a very general viewpoint. The theory it develops is of importance to topics from different branches of mathematics; for example: integral equations, dynamical systems, Optimization Theory, and mathematical physics.
The most fundamental starting point is the generalization of finite-dimensional vector spaces such as Rn to infinite-dimensional spaces such as spaces of sequences or functions. The corresponding generalization of linear operators – i.e. the generalization of matrices – then gives rise to a rich and fruitful theory.
The main focus of this module is on abstract theory, but examples will be given and a number of applications – e.g. to the theory of differential equations – will be considered as well.
Please note that all modules are subject to change, please get in touch if you have any questions about this module.