MMA400 Applied Functional Analysis 7.5 hec

 
The course is about problems where the variables are not numbers (as in calculus), but functions or more abstract objects. A linear structure where the objects can be added and multiplied with scalars is combined with a geometric/topological structure, where we can measure distances and take limits of the objects.
Functional analysis arose in the first decades of the 20th century, when mathematicians discovered that methods used to solve integral equations and partial differential equations also could be used in more abstract settings. During the course you will study normed spaces, Banach and Hilbert spaces, fixed-point theorems, compactness, spectral theory for compact self-adjoint maps, the Fredholm alternative, and applications to differential and integral equations.
 

Syllabus

 
The course is given
  • in English - in the first half of autumn
  • jointly with Chalmers TMA401

Course information 2019

Course information 2018

Course information 2017

Course information 2016

Course information 2015

  • Course coordinator PePeter Kumlin
  • Schedule

Course information 2012

Course information 2011

Course information 2010

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Course information 2008

Course information 2007

 
 

Published: Tue 18 Feb 2020.