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Calculus made easy

There is a calculus book in pdf form online at I found this in my search for a reference to Netwton's difference quotient method [wikipedia], which I use in a paper and which Jeff wanted me to put in a reference for.

Looking for a reference to Netwton's difference quotient method was instructive because it led me to a problem I had not had to deal with yet: if you have a numerical method for computing a function f(x) then the simple newton's difference quotient method

d f(x) f(x+h) - f(x)
------ = --------------
dx h

is problematic because for small values of h (as required by the method) f(x+h) is almost the same as f(x) and the difference and the division may lead you into rounding errors.

This paper addresses that issue.


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