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 adding and multiplying …

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 …

Dec 21, 2025 · I was solving a physics problem and the solution involves solving a differential equation that's of the form:

Oct 29, 2025 · How does the differential of smooth maps between manifolds relate to the "usual" differential of multivariate functions in $\mathbb {R}^ {n}$? Smooth manifolds are locally Euclidean, …

Jul 21, 2018 · 73 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 …

Oct 3, 2019 · I am a bit confused about differentials, and this is probably partly due to what I find to be a rather confusing teaching approach. (I know there are a bunch of similar questions around, but none o...

Dec 30, 2025 · How to solve this Ordinary Differential Equation? Ask Question Asked 19 days ago Modified 17 days ago

Differential geometry is the application of differential calculus in the setting of smooth manifolds (curves, surfaces and higher dimensional examples). Modern differential geometry focuses on "geometric …

Feb 12, 2026 · For questions about differential forms, a class of objects in differential geometry and multivariable calculus that can be integrated.

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...