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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
- 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
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 differential forms, but what is the motivation of introducing and using this object (differential form)?
- 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}
- Differential Equations Skydiver Problem - Mathematics Stack Exchange
I've seen many variants of this problem online, but not quite the same as this, so I don't believe this is a duplicate The famous differential equation problem models a skydiver jumping out of 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 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
- Easy to read partial differential equations book?
Partial Differential Equations: An Introduction by Walter Strauss An Introduction to Partial Differential Equations by Michael Renardy Partial Differential Equations by Fritz John Partial Differential Equations by Lawrence C Evans My background is having read A First Course in Differential Equations with Modelling Applications by Dennis Zill
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