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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
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)?
- 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 . . .
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
- 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
- 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
- calculus - The second differential versus the differential of a . . .
Is the above definition of the second differential used today in mathematics? This is the question for which I will accept an answer Can the above definition be brought into consonance with the definition of the differential of a differential form? Which, as I understand it goes as follows:
- Kernel of Differential Operator - Mathematics Stack Exchange
Kernel of Differential Operator Ask Question Asked 12 years, 7 months ago Modified 12 years, 7 months ago
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