Functional Analysis, 7.5 Credits
About the course
Functional analysis is used in many branches of mathematics and has applications in both physics and biology. Examples include heat transfer, wave dispersal and population growth. This is the part of mathematics which treats vector spaces with infinitely many dimensions, and some way of treating convergence, such as a norm or a topology. Common examples are spaces of functions. An important part of functional analysis is the study of mappings between different spaces, known as operators. Familiar examples are differential operators. Another important class of operators are mapping to the complex number, called functionals.The course treats basic theory of linear operators on normed spaces and the main theorem concerning these, such as Riesz's representation theorem, Fredholm's alternative, and the spectral theorem.
Level of Education: Advanced
Course Menu
Contact Information
Dept of Mathematics and Mathematical Sta
