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- What exactly is a differential? - Mathematics Stack Exchange
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 rational numbers Then you ask me "But what are the rational numbers?" The answer is: They are anything that obeys those rules Now in order for that to make sense, we have to know that there's at least
- What actually is a differential? - Mathematics Stack Exchange
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
- How do I determine the stability of an equilibrium solution to a . . .
How do I determine the stability of an equilibrium solution to a differential equation? Ask Question Asked 1 year, 11 months ago Modified 1 year, 11 months ago
- Proving uniqueness of solution of a differential equation
Proving uniqueness of solution of a differential equation Ask Question Asked 2 months ago Modified 2 months ago
- real analysis - Rigorous definition of differential - Mathematics . . .
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 define differential simply as the limit of a difference as the difference approaches zero?: $$\mathrm {d}x= \lim_ {\Delta x \to 0}\Delta x$$ Thank you in advance
- What is a differential form? - Mathematics Stack Exchange
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 differential forms, but what is the motivation of introducing and using this object (differential form)?
- How to define linear and non-linear differential equation
I have a problem understanding how to define a linear or non-linear Differential equation These are my answers to the questions, however, my teacher's answers are not the same as mine Questions
- Newest differential-geometry Questions - Mathematics Stack Exchange
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 structures" on such manifolds, such as bundles and connections; for questions not concerning such structures, use (differential-topology) instead Use (symplectic-geometry), (riemannian
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