Functional Analysis - David Templin's Blog

David Templin's Blog

Sign in Subscribe

Functional Analysis

A collection of 4 posts

Distributions

This post gives a cursory overview of the concept of distributions from functional analysis.

Functional Derivatives

Functional Derivatives

This post is about the concept of functional derivatives. These derivatives find important applications in physics and engineering. Note: in this post, we will use the term derivative to refer to some sort of limit or related concept, whereas we will use the term differential to refer to a sort

The Einstein-Hilbert Action

The Einstein-Hilbert Action

This post describes how to derive the field equation of General Relativity from the Einstein-HIlbert action.

Derivatives on Normed Vector Spaces

Derivatives on Normed Vector Spaces

This post explores the conception of derivatives as the best local linear approximation of a continuous function in the general setting of normed vector spaces, and generalizes classical results to spaces of functionals.