Hi, On Sat, 7 Mar 2009 01:19:05 -0800 (PST) clinton bowen <clinton.bo...@gmail.com> wrote:
> > I tried some Cosine Transforms found in the book 'Handbook of Integral > Equations' by Andrei D. Polyanin and > Alexander V. Manzhirov into sage and I found that sage was not able to > perform these integrals. As Robert Dodier already pointed out, some examples would be helpful. > I guess my questions are: > How powerful is the integrate() function or how well versed is the > integrate() in sage? > What is being done to improve the integrate() ? > Is there something that I could do to help this coming summer to > improve it? As already mentioned, at the moment Sage hands over all integration problems to Maxima. The long term plan is to have an independent implementation of integration in Sage. However, I don't think anybody is actively working on this. (Apart from some loose promises from some people I tried to coerce into this over time. :) ) Thus, any help would be very much appreciated. The plan is to have an implementation of Manuel Bronstein's Poor Man's Integrator, and the heuristics in Maxima in the short term. Then start implementing the transcendental case of Risch. See here for some more information on the progress of symbolics in Sage: http://wiki.sagemath.org/symbolics You could start by writing down the heuristics used by Maxima mathematically, so we can see how useful they would be for us. It would also be good to look what axiom does in this area. > I'm a junior math major at CSUN. It seems that my summer is going to > be empty and I'd like to challenge myself in something. It looks like > the integrate() could be a challenge. It is a real challenge indeed. If you're interested in working on Sage and helping out with symbolics, you can also pick out other tasks from the list I mentioned above. For example, here is some more information on the "solve" function of Maxima, which I should have added to the wiki page much earlier. http://www.unk.edu/uploadedFiles/facstaff/profiles/willisb/solve-talk(3).pdf Feel free to ask any questions to get started. I'm sure you've noticed this already, but people here are usually very supportive. Cheers, Burcin --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
