What exactly is a differential? - Mathematics Stack Exchange
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 …
What is a differential form? - Mathematics Stack Exchange
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 …
calculus - What is the practical difference between a differential and ...
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 …
Best books for self-studying differential geometry
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...
real analysis - Rigorous definition of "differential" - Mathematics ...
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 …
Vector-valued differential forms - Mathematics Stack Exchange
Dec 25, 2015 · 6 I don't think that there is a uniform use of terminology, although it seems more common to me that "vector valued differential forms" refers to the case of a fixed vector space, whereas in the …
Good book about differential forms - Mathematics Stack Exchange
Aug 19, 2015 · Differential forms are things that live on manifolds. So, to learn about differential forms, you should really also learn about manifolds. To this end, the best recommendation I can give is …
calculus - Square of a differential - Mathematics Stack Exchange
Nov 29, 2015 · The meaning of the notation is indeed a second order differential, i.e. a difference of difference, not a squared difference. Then about any function will show you that the square of the …
How to derive a differential equation of an ellipse
I am quite new to differential equations and derivatives. I want to derive an differential form for equation of an ellipse. If i start with an ordinary ellipse equation \\begin{equation} \\frac{x^2}...
reference request - Best Book For Differential Equations?
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 interesting …