Multivariable Taylor series

[fakuivan]

So these are the functions I was able to come up with:

Code:

maclaurin_mv(expr_rep,vars,order):=(series(expr_rep(vars = (reserved*vars)),reserved = 0,order,polynom))(reserved = 1)
taylor_mv(expr_rep,vars,order,center_rep):=(maclaurin_mv(expr_rep(vars = (vars+center_rep)),vars,order)))(vars = (vars-center_rep))

The taylor version simply moves the origin of the function to ``center_rep``, expands the maclaurin series and then offsets the function back to its origin.

If you have any comments on my solution, like how I could improve it, please do post them. I'm open to criticism.