1. ## Derivation

I tried to Google this but I don't know how to weed out things like the derivation of the quadratic formula and such.

Succinctly put we define a derivation as a map $\displaystyle \delta$ on real functions f and g with the property $\displaystyle \delta (f g) = g \delta (f) + f \delta (g)$

The problem is that I really only know one example: the derivative map. (I have seen one operating on "flows" but I'm getting a little lost on the topic.)

Does anyone know of any other derivations that have a more or less geometric interpretation?

Thanks!

-Dan

2. ## Re: Derivation

Originally Posted by topsquark
I tried to Google this but I don't know how to weed out things like the derivation of the quadratic formula and such.

Succinctly put we define a derivation as a map $\displaystyle \delta$ on real functions f and g with the property $\displaystyle \delta (f g) = g \delta (f) + f \delta (g)$

The problem is that I really only know one example: the derivative map. (I have seen one operating on "flows" but I'm getting a little lost on the topic.)

Does anyone know of any other derivations that have a more or less geometric interpretation?

Thanks!

-Dan
did you find this?

3. ## Re: Derivation

Originally Posted by romsek
did you find this?
Thanks for the search help. I never thought of looking under Differential Geometry. Time to do some surfing.

By the way I actually have come across the Pincherle derivative. I never knew it had an actual name for it.

Thanks for the info. Except in reference to the Lie Algebra and tensor concepts it looks like I won't be running into too many types of derivations in my work. (But I've been wrong before.)

-Dan