What exactly is a differential? - Mathematics Stack Exchange
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 …
What is a differential form? - Mathematics Stack Exchange
Jul 21, 2018 · 69 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 …
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 …
derivatives - What is the difference between a differential and a ...
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, …
real analysis - Rigorous definition of "differential" - Mathematics ...
Nov 3, 2016 · What bothers me is this definition is completely circular. I mean we are defining differential by differential itself. Can we define differential more precisely and rigorously? P.S. Is it possible to …
Recommending books for introductory differential geometry
Also look into the book with the same title: Elementary Differential Geometry, 2nd Ed (2010), [Springer Undergraduate Mathematics Series], this one authored by Andrew Pressley. "Elementary Differential …
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}...
matrices - Differential and derivative of the trace of a matrix ...
To find the differential I thought I could just find the differential of the compostion function first and then take the trace of that differential. Am I right in saying so? As for the derivative, I have no idea how I …
ordinary differential equations - What exactly is steady-state solution ...
Jan 16, 2023 · In solving differential equation, one encounters steady-state solutions. My textbook says that steady-state solution is the limit of solutions of (ordinary) differential equations when $t …