
intuition - What is functional analysis in simple words?
Mar 8, 2016 · Functional analysis is finding an unknown in terms of an infinite series of functions. The simplest example being 'Fourier analysis' which is a general solution of the empty-space …
reference request - What are the applications of functional analysis ...
Dec 2, 2015 · If anything unrelated is called functional analysis, then it must be a very useful branch of mathematics, quite trivially. But if we stick to some Wikipedia definitions, then …
Video lectures on Functional Analysis - Mathematics Stack Exchange
Oct 11, 2015 · I am looking for excellent VIDEO lectures on functional analysis. They should be (1) in English (2) the video quality and voice is good (3) the lecture should not be presented in …
Newest 'functional-analysis' Questions - Mathematics Stack …
5 days ago · Functional analysis, the study of infinite-dimensional vector spaces, often with additional structures (inner product, norm, topology), with typical examples given by function …
functional analysis - Why are Sobolev spaces useful?
Jun 4, 2019 · The reason Sobolev spaces are so effective for PDEs is that Sobolev spaces are Banach spaces, and thus the powerful tools of functional analysis can be brought to bear. In …
functional analysis - Alternatives to Reed & Simon's book
Jul 20, 2021 · Breziz book on functional analysis is also a great book, specially for a PDE oriented person; volume 4 of Simon's analysis books has classic and new material and plethora of …
What is the difference between Real Analysis, Mathematical …
Jun 27, 2020 · What is the difference between Real Analysis, Mathematical Analysis, Functional Analysis, and Calculus? And is Analysis is the general field to all of them?
Is "Functional Analysis" by "Yosida" a good book for self study?
I was wishing to start studying by myself the book Functional Analysis by Yosida, does anyone have already used it, is it a good reference?
Functional analysis textbook (or course) with complete solutions to ...
14 Erwin Kreyszig, Introductory Functional Analysis with Applications This book has solutions to all odd numbered questions at the back, so you can attempt to work on the problems first, and …
Prerequisites for functional analysis - Mathematics Stack Exchange
Apr 8, 2012 · Functional analysis is in some sense the "good" infinite-dimensional analogue of linear algebra that you need to do analysis. Namely, if you study functional analysis you will …