- Derivatives in first year calculus
- Gateaux Derivatives
- Frechet Derivatives
- Covariant Derivatives
- Lie Derivatives
- Exterior Derivatives
- Material Derivatives
So, I learn about Gateaux and Frechet when studying calculus of variations
I learn about Covariant, Lie and Exterior when studying calculus on manifolds
I learn about Material derivatives when studying fluid mechanics
But I would have never thought there would be so many.
Is this about all there is?
May I ask if someone can categorize these?
When are they used? How are they used? Are there more?
Can you possibly create a table? Are there subsets of each other?
Are some a manifestation of only physics or engineering or math?
Can anyone bring order out of this chaos for me?