[ExI] Calculus Without Derivatives

[Michael Roberts]

While on the subject of mathematical works, I found this one to be
very interesting:

http://mitpress.mit.edu/books/functional-differential-geometry

M

On Tue, Oct 14, 2014 at 3:46 PM, Anders Sandberg <anders at aleph.se> wrote:
> Dan <danust2012 at gmail.com> , 14/10/2014 9:48 PM:
>
> http://www.springer.com/mathematics/analysis/book/978-1-4614-4537-1
>
> Me want! Jeg vil gjerne denne!
>
>
> Looking at the sample chapter suggests that while there might not be
> derivatives, it is a graduate level approach that plays around with things
> like topological spaces, coercive functions and normal cones - it is not
> easier than the usual approach.
>
> Incidentally, the Mean Value Theorem is not valid if one uses just the
> computable reals. That blew my mind when Ben Goertzel pointed it out to me.
>
>
>
>
> Anders Sandberg, Future of Humanity Institute Philosophy Faculty of Oxford
> University
>
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