Algebraic integration

[josdejong]

To have a complete algebra package, we need support for three operations: derivative, integral, and simplify. @BigFav created an initial function derivative, @ericman314 is currently having fun with creating a simplify function. An implementation for algebraic integration is still missing.

The current work is available in the algebraic_differentiation branch. It's still a work in progress and we're still discussing what API to offer. See earlier discussions: #439, #386.

Who is interested in working on algebraic integration?

@nicolewhite maybe you are interested in helping out here, seen your recent work on algebra.js?

[nicolewhite]

Do you plan to add any capabilities around solving?

[josdejong]

@nicolewhite good point, I didn't have this in mind for this first set of algebraic functions but a solver will be indispensable :). Would you find it interesting to work on that?

[sonnyk22]

Would be great to have a good solid JavaScript-based algebra equation solver. The closest one I came across is http://davidwees.com/coding/2006/11/javascript_systems_of_equation.html which does need a serious fine-tuning.

@nicolewhite, does your algebra.js library able to solve such equation as:
2(x-2)(x+3)/5+3/4(x-2)+2x-3/2x^2+2=3(x-2)+(2x-3)(2x+2)-4
x^2-6x+5=0
1/(x-3)=1
x(2+2)=4

[BigFav]

I got pretty busy as I was going to work on this, but I still gathered a few resources which may be helpful for anyone interested.

http://mathematica.stackexchange.com/questions/6811/how-does-mathematica-integrate
https://asmeurersympy.wordpress.com/2010/06/30/the-risch-algorithm-part-1/ (There is a series of these)

[Announcement]

what about .solveFor

[josdejong]

yes, I think we can simply name it solve?

[husayt]

@nicolewhite math.js now has solid derivative and simplify implementations, algebra.js integration would be great. Algrbra.js could also benefit from very strong expression tree, toLatex and other features of math.js.
Thanks for great work

[cshaa]

Let's continue the discussion in #1015