Jul 13, 2015 · 8 The differential of a function at is simply the linear function which produces the best linear approximation of in a neighbourhood of . Specifically, among the linear functions that take the …

See this answer in Quora: What is the difference between derivative and differential?. In simple words, the rate of change of function is called as a derivative and differential is the actual change of …

Mar 10, 2025 · A differential form is (technically) a function that we can calculate value at a point and AFAIK it has nothing to do with infinitesimals nor tends to anything. A course in precalculus, calculus, …

Jul 21, 2018 · 72 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 operations with …

Nov 3, 2016 · I mean we are defining differential by differential itself. Can we define differential more precisely and rigorously? P.S. Is it possible to define differential simply as the limit of a difference as …

Oct 30, 2023 · Wikipedia says that it comes from the graded product (Leibniz) rule, but those Wikipedia articles give this relation as a definition that applies to differential forms.

Dec 30, 2025 · Ask question Explore related questions calculus ordinary-differential-equations derivatives

Aug 16, 2022 · This is all, of course, in Rn R n, so you don't really need to know any differential geometry, but I saw that there are people doing PDE on Riemannian manifolds for instance.

Oct 19, 2013 · To do serious research in modern differential geometry you also need strong background in: Algebraic topology (say, to the extent covered in Hatcher's "Algebraic Topology" book). Functional …

May 10, 2018 · I was attempting to solve the following integro-differential equation using convolutions. My answer also had a convolution which did not seem right and was wondering if someone would …