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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:
- 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
- What actually is a differential? - Mathematics Stack Exchange
To define a differential a little more rigorously, let's say that every equation relation has a foundational independent variable that all the others are ultimately dependent upon, even if we don't name it
- 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
- Book recommendation for ordinary differential equations
$\begingroup$ And here is one more example, which comes to mind: a book for famous Russian mathematician: Ordinary Differential Equations, which does not cover that much, but what is covered, is covered with absolute rigor and detail
- differential geometry - Area form from volume form - Mathematics Stack . . .
Such differential form is exact, indeed it can be written as $$ \omega = d\left(\frac{1}{3}\left(x dy \land dz - y dx \land dz + z dx\land dy \right)\right) = d \alpha $$ I wonder if $\alpha$ does correspond to the area form The question is if there's a relationship between the $\alpha$ form and the area of a surface
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