Taylor seriesDate: Thu, 3 Nov 94 11:23:15 EST From: Brian Sledd Subject: Taylor series Dr. Math, Please describe the Taylor series. Try to make it as simple as possible... Brian Date: Thu, 3 Nov 1994 20:46:52 -0500 (EST) From: Dr. Ethan Subject: Re: Taylor series Hi Brian, Essentially the idea behind Taylor series is that if two functions have the same value at a point and all of their derivatives are equal as well, at that point essentially the two equations are equal. This is not an absolute, but for most functions this is the case. So given a nasty equation, we can come up with a polynomial that has the same first, second, third, fourth, .... derivative, and therefore is a very good approximation. I hope that sheds some light on the topic. If you want more, write back and we'll try to give you some more. -Doctor Ethan, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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