[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
On May 16, 11:12 am, Chris Seberino wrote: > What is the definition of "algebra"? Perhaps "algebra" means something > like "the manipulation of a finite number of objects" ? No, that's combinatorics... --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
On May 17, 11:29 am, john_perry_usm wrote: > I was under the very vague impression that computer algebra systems a > la Maple, Mathematica etc. were so-called because they started out > emphasizing algebraic and symbolic manipulation, and so came out of > the so-called "computer algebra" community, Also, can't the limited calculus operations Sage performs be mapped onto algebra? I meana computer can't do anything involving infinity except to treat infinity as just another variable that obeys certain algebraic rules. So perhaps symbol manipulation itself, which is what all computer ultimately do, can be thought of as "just" algebra? Chris --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
I was under the very vague impression that computer algebra systems a
la Maple, Mathematica etc. were so-called because they started out
emphasizing algebraic and symbolic manipulation, and so came out of
the so-called "computer algebra" community, as opposed to systems that
started out relying more on numerical and floating point calculation
like Matlab or MathCAD.
My less vague understanding is that those groups tend to mingle a lot
more now ("symbolic numerics" etc.) than they used to.
It seems that Wikipedia agrees:
http://en.wikipedia.org/wiki/Computer_algebra_system#History
but for all I know I'm reading my own understanding into what they
wrote. I would be happy to be corrected.
regards
john perry
On May 16, 1:42 pm, William Stein wrote:
> On Sat, May 16, 2009 at 11:12 AM, Chris Seberino wrote:
>
> > Sage does calculus and geometry calculations so I don't understand why
> > the term "Computer Algebra System" is so prevalent.
>
> Neither do I. I have also always wondered why that term is used. I
> much prefer the term "mathematics software". That's why the
> description of Sage on the main page is "Sage is a free open-source
> mathematics software system licensed under the GPL. "
>
> - William
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[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
On Sat, May 16, 2009 at 11:12 AM, Chris Seberino wrote: > > Sage does calculus and geometry calculations so I don't understand why > the term "Computer Algebra System" is so prevalent. Neither do I. I have also always wondered why that term is used. I much prefer the term "mathematics software". That's why the description of Sage on the main page is "Sage is a free open-source mathematics software system licensed under the GPL. " - William --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
Chris Seberino пишет: > Sage does calculus and geometry calculations so I don't understand why > the term "Computer Algebra System" is so prevalent. Probably because it is abbreviated as CAS that is already a history to call mathematics software. Serge > > What is the definition of "algebra"? Perhaps "algebra" means something > like "the manipulation of a finite number of objects" ? > > Chris > > > > --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
Mike Hansen wrote: > On Sat, May 16, 2009 at 11:15 AM, Craig Citro wrote: >>> Sage does calculus and geometry calculations so I don't understand why >>> the term "Computer Algebra System" is so prevalent. > > I would guess for historical reasons. On the front page of > sagemath.org, we just use the term "mathematics software." And also, Sage (more than many "computer algebra systems") lets you do algebra calculations (e.g., content found in typical undergraduate or graduate abstract algebra courses). Jason --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
On Sat, May 16, 2009 at 11:15 AM, Craig Citro wrote: > >> Sage does calculus and geometry calculations so I don't understand why >> the term "Computer Algebra System" is so prevalent. I would guess for historical reasons. On the front page of sagemath.org, we just use the term "mathematics software." --Mike --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: Why is Sage called a Computer *Algebra* system? What is def of "algebra"?
> Sage does calculus and geometry calculations so I don't understand why > the term "Computer Algebra System" is so prevalent. > > What is the definition of "algebra"? Perhaps "algebra" means something > like "the manipulation of a finite number of objects" ? > I have a feeling this conversation should just be pre-emptively moved to sage-flame. :) -cc --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
