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 …

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 circular. I mean …

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 …

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...

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 Partial …

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 …

Dec 23, 2018 · The answer mentions that this is an exercise. Is that in fact correct? If so, it would be helpful to know which section / chapter of the textbook this exercise comes from, since that would …

Mar 5, 2019 · For differential equations (ordinary, partial, with deviating argument, etc.), as well as for some integral equations, a rule of thumb is the following: the equation is called autonomous when for …

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 …