Multivariate Taylor Series

asked 2013-02-07 18:13:48 +0200

yktula
3 ●1 ●1 ●4

updated 2013-02-07 18:14:29 +0200

Hi. I know f.taylor(x, x_0, n) would generate an n-order Taylor approximation of f around x_0 for a function of a single variable. How can I do this for multiple variables? I know Maxima can handle it. How do I do this in sage?

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answered 2013-02-07 19:02:52 +0200

calc314
4191 ●22 ●48 ●113

You can do the following:

f(x,y)=sin(x)*y
taylor(f(x,y),(x,pi),(y,2),4)

f.taylor((x,pi),(y,2),4)

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I'm not sure what mistake I was making; it seems so obvious. Thank you so much!

yktula ( 2013-02-07 19:13:35 +0200 )edit

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Asked: 2013-02-07 18:13:48 +0200

Seen: 4,172 times

Last updated: Feb 07 '13

Multivariate Taylor Series edit