
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 …
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.
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...
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 …
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
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 …
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
Why can we treat differential operators as if they behave like ...
Jun 7, 2025 · Then one thinks of differential operators as a linear maps between such spaces. Often the space of all linear maps between two spaces is itself a vector space and so one can indeed start to …
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...
analysis - How to tell if a differential equation is homogeneous, or ...
Jan 27, 2015 · Sometimes it arrives to me that I try to solve a linear differential equation for a long time and in the end it turn out that it is not homogeneous in the first place. Is there a way to see direc...