On 15 led, 00:35, Greg Marks <gtma...@gmail.com> wrote:
> Dear Robert,
>
> I wrote a SAGE worksheet for my freshman calculus class
> last semester implementing the Newton-Raphson algorithm
> for finding roots of functions to arbitrary precision.
> You'll find it unduly didactic, I'm afraid, but a few of
> the cells toward the end might be the sort of thing you're
> looking for.  The worksheet can be found as a text file at:
>
>  http://gmarks.co.cc/nr.txt
>
> Comments and critiques from all are certainly welcome.
>
> Sincerely,
> Greg
>

Many thanks Greg, I have a similar one: 
http://user.mendelu.cz/marik/sage/num.pdf

But I do not know, how much can I trust the result. If I do (for
example)

sin(1).n(digits=100000000)

is it true that the first 100000000 digits are correct? Or Sage
actually passes the computation to scipy or some library which has
limited precision a thus, only say first 10000 digits are correct.

I have no education in computer science (I do pure mathematics only),
so sorry if the question is silly :)

Robert



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