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- What is a differential form? - Mathematics Stack Exchange
At this point, however, I think that the best way to approach the daunting concept of differential forms is to realize that differential forms are defined to be the thing that makes Stokes' Theorem true In other words, you can approach understanding forms in two different ways:
- calculus - The second differential versus the differential of a . . .
Now if you want to, you can partially evaluate the second differential $ \mathrm d ^ 2 y $ when $ \mathrm d ^ 2 x = 0 $, getting a partial second differential showing only the dependance on $ x $ and not on $ \mathrm d x $: $$ ( \partial ^ 2 y ) _ { \mathrm d x } = \mathrm d ^ 2 y \rvert _ { \mathrm d ^ 2 x = 0 } = f ' ' ( x ) \, \mathrm d x
- Best Book For Differential Equations? - Mathematics Stack Exchange
For mathematics departments, some more strict books may be suitable But whatever book you are using, make sure it has a lot of solved examples And ideally, it should also include some simulation examples, in Matlab, Python, or any other language A First Course in Differential Equations with Modeling Applications by Zill is a good choice
- calculus - differential area - Mathematics Stack Exchange
Integral and differential calculus, after a good (and mathematically correct) explanation of the two 1
- calculus - Integrating differentials - Mathematics Stack Exchange
A vague, heuristic definition is that a differential form is simply something you integrate along a path ('real' definitions generally don't come until you start studying differential geometry, which is unfortunately much more complicated than you actually need to work with the issue at hand)
- ordinary differential equations - difference between implicit and . . .
What is the difference between an implicit ordinary differential equation and a differential algebraic equation? 2 Explicit formula for the implicit Euler method
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