I'll help; and I'm pretty familiar (as a user) with the algebra / combinatorics 
bits.


On Sun, 22 Jul 2007, William Stein wrote:

>
> Hello,
>
> I think SAGE might potentially greatly benefit from certain types of new
> documentation.   Unfortunately, after consider a number of possibilities,
> I'm unsure about how to proceed. I'll discuss the best idea Josh Kantor
> and I came up with below.  Let me know what you think, or suggest
> something else if you have any other ideas, or let me know what your
> concerns are (or if you would like to volunteer some writing).
>
> We could create a new manual, similar in format to the "SAGE
> Tutorial", "SAGE Reference
> manual", etc., but instead entitled "SAGE Overview".  This latex document 
> might
> have chapters entitled as follows, and primary contributors as listed
> to the right:
>   * Calculus -- me, Bobby Moretti, ??
>   * Combinatorics -- Robert Miller, Emily Kirkman
>   * Algebra -- Martin Albrecht, David Joyner
>   * Number Theory -- William Stein, Jaap Spies, David Kohel
>   * Linear Algebra -- Josh Kantor, Robert Bradshaw, William Stein
>   * Numerical Computation -- Josh Kantor
>   * Plotting -- Tom Boothby, Josh Kantor, Me, Alex Clemesha
>
> Each chapter would have a few paragraphs that overview what one can do
> in SAGE related to each topic, followed by sections that go into more detail
> with examples.   This is probably a very rough prototype of the sort of
> information the numerical computation chapter might provide:
>   http://www.math.washington.edu/~jkantor/C_Fortran/C_Fortran.html
>
> The idea is that if you're a new users to SAGE, after getting
> some very basic feeling for SAGE, you flip directly to the relevant
> chapter of the book *for you*, e.g., if you do algebra you read that
> chapter, if you do calculus you read the calculus chapter, etc.
> And in reading that chapter, you get a pretty good sense of
> what SAGE is capable in your specialty, where to find further
> documentation (e.g., when you read about number theory,
> you learn that SAGE includes NTL, that NTL can do blah,
> and that you can find out more at location xyz).  Also, there
> are some (but not too many) doctested examples throughout.
>
> What do people think?  People would contribute to this document
> using hg_doc patches, just like they do now with tutorial, etc., 
> contributions.
>
> An alternative would be to create short books for each topical
> area.  This might be more manageable, or it might be less
> manageable; I'm not sure.
>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washington
> http://www.williamstein.org
>
> >
>



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