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- 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)?
- 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
- 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
- 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}
- Linear vs nonlinear differential equation - Mathematics Stack Exchange
2 One could define a linear differential equation as one in which linear combinations of its solutions are also solutions
- 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
- How do you write a differential operator as a matrix?
How do you write a differential operator as a matrix? I'm very confused Could someone please use examples to help me understand? Preferably with first and second-order linear differentiation
- How to solve partial integro-differential equation?
So even after transforming, you have an integro-differential equation; it doesn't simplify to an algebraic equation or ODE, as would happen with linear equations It won't be simple to develop your own, but numerical solutions are the way to go here
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