- #1
conquest
- 133
- 4
Hey everybody,
I was reading in Singularities of differentiable maps by Arnold, Gusein-Zade and Varchenko and I didn't even get through the first page before being confused.
My confusion concerns the sentence about the second differential of a function. This is supposed to be a quadratic form. So in what way should I view this since this should also just work for single variable functions.
I keep going back to either d(df)=0. Somehow I must be looking for the second derivative in some form.
I guess my question is just, what exactly is the second differential of a function (in what way is it a quadratic form)?
Cheers
I was reading in Singularities of differentiable maps by Arnold, Gusein-Zade and Varchenko and I didn't even get through the first page before being confused.
My confusion concerns the sentence about the second differential of a function. This is supposed to be a quadratic form. So in what way should I view this since this should also just work for single variable functions.
I keep going back to either d(df)=0. Somehow I must be looking for the second derivative in some form.
I guess my question is just, what exactly is the second differential of a function (in what way is it a quadratic form)?
Cheers