Functional Analysis
Functional Analysis By S. Kesavan
English | PDF | 2009 | 283 Pages | ISBN : 8185931879 | 17.4 MB
Functional analysis studies linear spaces provided with suitable topo- logical structures and (continuous) linear transformations between such spaces. It has far reaching applications in several disciplines. For in- stance, the modern theory of (partial) differential equations and the numerical approximation of their solutions rely a lot on functional ana- lytic techniques. Functional analysis is now an integral part of the curriculum in any post graduate course in Mathematics. Ideally it should be taught after having covered courses in linear algebra, real and complex analysis, and topology.An introduction to the theory of measure and integration is also helpful since the richest examples in functional analysis come from function spaces whose study demands such a knowledge.