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 …

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...

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 operations with …

Sep 6, 2021 · But isn't the exterior derivative more than a partial derivative of smooth functions since it also changes the degree of the differential form?

Aug 24, 2015 · A differential algebraic system of equations is a system of equations where some equations are algebraic equations and some are differential equations. The equations need not be …

10 I will assume that you know how to handle smooth differential forms on smooth real manifolds, this is a necessary prerequisite for understanding complex and holomorphic differential forms on complex …

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Explore related questions calculus differential-geometry applications See similar questions with these tags.

We know that the Riemannian volume (area) form is defined to be $\sqrt {\det G}\,du\wedge dv=\sqrt {EG-F^2}\,du\wedge dv$, and $\sqrt {EG-F^2}=\|\textbf {x}_u\times ...