(mathematical) Taylor series is. For a long time, I had
assumed that I would... a minor regret.
I am seeing it thanks to the Math is Fun tutorial. The example
below with the cosine function is interesting in that the computer
is using the same series to compute the reference cos(x) that
the series unveils. So piece by piece, one will cover the other.
But this is also visually misleading, because the two are only
really the same at 0, which evaluates to 1. There is a better apparent
fit with more terms as one leaves the vicinity of 0, but the entire
curb is adjusting all the time...
Below, on a mac, the pink is the first three terms of the cos series above. The blue
is terms two and three, without the 1.
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I was asked about Newton's concept of fluxions:
http://www-history.mcs.st-andrews.ac.uk/HistTopics/The_rise_of_calculus.html
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