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 wave equation.

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 functional analysis is, …

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 boring style …

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 particular, the …

Functional analysis, the study of infinite-dimensional vector spaces, often with additional structures (inner product, norm, topology), with typical examples given by function spaces. The subject also …

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?

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 look at the …

May 24, 2015 · A bit of real analysis is also helpful because a lot of topological notions are introduced in those books, and familiarity with them is necessary. Furthermore, notions involved in the …

Explore related questions functional-analysis hilbert-spaces riesz-representation-theorem See similar questions with these tags.

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 references …