Jul 21, 2018 · 70 can someone please informally (but intuitively) explain what "differential form" mean? I know that there is (of course) some formalism behind it - definition and possible …

Next semester (fall 2021) I am planning on taking a grad-student level differential topology course but I have never studied differential geometry which is a pre-requisite for the course. My plan i...

Jul 13, 2015 · The right question is not "What is a differential?" but "How do differentials behave?". Let me explain this by way of an analogy. Suppose I teach you all the rules for …

Feb 16, 2021 · Partial Differential Equations: An Introduction by Walter Strauss An Introduction to Partial Differential Equations by Michael Renardy Partial Differential Equations by Fritz John …

Explore related questions differential-geometry partial-differential-equations See similar questions with these tags.

I currently have a very limited understanding of this topic and would be very grateful if someone could work me through a solution to this question: Let $\\phi : M \\to N$ be a diffeomorphism of

The differential equations class I took as a youth was disappointing, because it seemed like little more than a bag of tricks that would work for a few equations, leaving the vast majority of …

Mar 10, 2025 · The main difference between a differential such as dx d x, dy d y, or more generally df d f (for a function f f of several variables) and a differential form is generality: a …

Nov 3, 2016 · Now we define differential of f(x) as follows: df(x): = f ′ (x)dx Where df(x) is the differential of f(x) and dx is the differential of x. What bothers me is this definition is completely …

Mar 31, 2014 · Once I heard differential forms being introduced in a classroom as "the stuff we want to integrate". Take a look at the change of variables formula for integration in $\mathbb …