I've recentlty been studying vector calculus at uni and now that we are almost up to the general Stokes's theorem and its many froms I am just beginning to understand it and actually enjoy it.(adsbygoogle = window.adsbygoogle || []).push({});

One thing that is really annoying me though is that I have heard one-forms being refered to as covectors. I am reasonably familiar with covectors in that I know that they are elements of a dual space and are constucted as a linear combination of the daul basis vectors ei* which satisfy <ei,ei*> = {kronecker delta} where ei is a standard basis vector.

Is a single one-form such as dx then an element of the dual basis?

I've only ever studied the dual space of R^n, which as I recall, is the space of linear functionals. I fail to see how a vector of the form (dx, dy, dz) could represent a linear functional.

Does it have something to do with work?

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# Studying vector calculus

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