Re: Chapter 10 - Problem with Xi

Ok, I what I've understood now:

is the direction we want to calculate the slope in.

is the covector to the vector along the contour, but I'm not sure. There is the equation

, which says me that the slope vanishes when the vector

points in the right direction (along the contour).

also says me that

has to be the covector of

, right? I think I still miss something related to

...

vasco wrote:

here is an operator, so

So this equation in the book didn't mean the vector

but the operator

or

, which returns a number...

Furthermore,

is called a vector field. Is

now an operator or a vector or a vector field?