A Bachman : A geometric approach to differential forms

mrslamovics
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Forms and basis in TpC (page 18)
Hi All!
First of all , sorry for my English :)
In Bachman's book, on page 18, a vector in the tangent space is written in the form dx(0,1)+dy(1,0). Why is it not written the other way around, so why isn’t dx(1,0)+dy(0,1) the correct expression? Thank you.
 
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It looks like a typo.
 
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Thread 'On covariance of the Lagrange equations'

Here is a sketch of deduction of the Lagrange equations by means of the covariance argument. I believe that it is a suitable substitute for the archaic terminology that is employed in most textbooks. Assume we have ##\nu## particles with masses ##m_1,\ldots,m_\nu## and with position vectors $$\boldsymbol r_i=(x^{3(i-1)+1},x^{3(i-1)+2},x^{3(i-1)+3})\in\mathbb{R}^3,\quad i=1,\ldots,\nu.$$ Thus the position of the system is characterized by a vector...
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