Functional analysis
dc.contributor.author | Feinstein, Joel | |
dc.date.accessioned | 2017-03-31T07:24:31Z | |
dc.date.available | 2017-03-31T07:24:31Z | |
dc.identifier.uri | https://rdmc.nottingham.ac.uk/handle/internal/257 | |
dc.description.abstract | As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential equations. Solutions are sought in an infinite dimensional space of functions. This module paves the way by establishing the principal theorems (all due in part to the great Polish mathematician Stefan Banach) and exploring their diverse consequences. Topics to be covered will include: – norm topology and topological isomorphism; – boundedness of operators; – compactness and finite dimensionality; – extension of functionals; – weak*-compactness; – sequence spaces and duality; – basic properties of Banach algebras. Suitable for: Undergraduate students Level Four Dr Joel F. Feinstein School of Mathematical Sciences Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area. | |
dc.publisher | University of Nottingham. Information Services. Learning Team | |
dc.rights | Attribution-NonCommercial-ShareAlike 2.0 UK | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-sa/2.0/uk/ | |
dc.title | Functional analysis | |
dc.rights.license | Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA) (URL: http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ ). Your use of the content provided in this resource is subject to the terms of the copyright statement available here: http://unow.nottingham.ac.uk/copyright.aspx |
Files in this item
This item appears in the following Collection(s)
-
U-Now Open Courseware
U-Now is The University of Nottingham’s collection of open educational materials that have been openly licenced for anyone to use