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I am reading Jon Pierre Fortney's book: A Visual Introduction to Differential Forms and Calculus on Manifolds ... and am currently focused on Chapter 2: An Introduction to Differential Forms ...
I need help with Question 2.4 (a) (i) concerned with computing a directional derivative ...
Question 2.4, including the preceding definition of a directional derivative, reads as follows:
My question/problem is as follows:
In question 2.4 (a) (i) we are asked to find ##v_p[f]## where ##f## is given as ##f(x) = x## ... .... BUT ... ##v## and ##p## are given in ##\mathbb{R}^3## ... so doesn't ##f## need to be defined on ##\mathbb{R}^3## ... say something like ##f(x,y, z) = x## or similar ...
Help will be appreciated ...
Peter
I need help with Question 2.4 (a) (i) concerned with computing a directional derivative ...
Question 2.4, including the preceding definition of a directional derivative, reads as follows:
My question/problem is as follows:
In question 2.4 (a) (i) we are asked to find ##v_p[f]## where ##f## is given as ##f(x) = x## ... .... BUT ... ##v## and ##p## are given in ##\mathbb{R}^3## ... so doesn't ##f## need to be defined on ##\mathbb{R}^3## ... say something like ##f(x,y, z) = x## or similar ...
Help will be appreciated ...
Peter
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