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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 is a differential form? - Mathematics Stack Exchange
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 differential forms, but what is the motivation of introducing and using this object (differential form)?
- 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 . . .
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 we are defining differential by differential itself Can we define differential more precisely and rigorously? P S
- Book recommendation for ordinary differential equations
Explore related questions ordinary-differential-equations reference-request book-recommendation See similar questions with these tags
- reference request - Best Book For Differential Equations? - Mathematics . . .
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 problems insoluble Simmons' book fixed that
- 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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