Document Actions

4P1: Functional Analysis ( MATH7431)
Semester: 1 Campus: CRAWLEY

Availability: Semester 1, Semester 2 (See Timetable)

Description

This unit covers functional analysis which is used to analyse the properties of functions in a wide variety of settings such as measure theory, operator theory, integral equations, generalised functions and holomorphic functions. Historically, its roots lie in the abstraction of ideas and techniques arising in applications such as differential and integral equations. Now it encompasses the abstract development of many fields and has wide applications to engineering, physics and applied sciences generally. At its centre are such topics as the measure theory, Hilbert spaces, Banach spaces and locally convex spaces. So, functional analysis has an internal beauty as well as considerable power to solve problems.

The unit consists of discussion of some of the important concepts of functional analysis and their applications. Interspersed within it are many examples illustrating the power and usefulness of the ideas.

Only a selection of topics can be included in any one semester. The selection of topics depends on student interest and staff availability and is normally chosen from measure theory, integration theory, convergence in infinite dimensions, differential equations, integral operators, compact operators, spectral theory and nonlinear operators.

For more info see the Handbook: http://handbooks.uwa.edu.au/units/math/math7431

Resources