
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 actually is a differential? - Mathematics Stack Exchange
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...
calculus - What is the practical difference between a differential and ...
Anyone who sees calculus in application is likely to encounter both derivatives and differentials. The two concepts have confusingly similar notation. For that reason, this post is a very important contribution.
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 …
What is a differential form? - Mathematics Stack Exchange
Jul 21, 2018 · 75 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 …
Proving uniqueness of solution of a differential equation
Dec 21, 2025 · Proving uniqueness of solution of a differential equation Ask Question Asked 3 months ago Modified 3 months ago
Is there a reason it is so rare we can solve differential equations?
Aug 6, 2020 · Speaking about ALL differential equations, it is extremely rare to find analytical solutions. Further, simple differential equations made of basic functions usually tend to have ludicrously complic...
Norm of differential forms - Mathematics Stack Exchange
Jul 19, 2019 · However, here, differential forms are sections of the cotangent bundle, and the fibers $\bigwedge T^*_xM$ do not have a natural norm so I'm not sure how to measure how ``far'' away a …
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...
What is the essential difference between ordinary differential ...
Aug 25, 2015 · What is the essential difference between ordinary differential equations and partial differential equations? Ask Question Asked 10 years, 8 months ago Modified 3 years, 11 months ago