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A lot of this has to do with running Mathematica and the like on Linux, which is a painful process, but the peer reviewable nature of an open source system is another major factor. Despite its obvious technical inferiority, I'm using Maxima to do this. In my work, I am using CAS systems to perform integrals on what would be otherwise an unmanageable amount of equations, in order to generate some nice neat, but still quite large matrices. I work on pretty much a daily basis with computer algebra systems. With Mathematica, you have to trust that the methods they use, which you can't see, are legitimate and don't introduce any unforeseen error.
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The tutorial shows you how to do lots of fancy things using examples from abstract algebra, but doesn't tell you ordinary, useful things, like how to integrate x^a. It's not packaged properly for debian/ubuntu. (E.g., sage computes (2^123456789-1)%(2^12345678-1) in about 10 s, whereas ordinary python takes longer to evaluate (2**123456789-1)%(2**12345678-1) than I was willing to wait.) Cons: It's basically a hairball of other math packages, and the interface to other packages often doesn't seem to be very good. Sage implements arbitrary-precision arithmetic much more efficiently than programs that use the GMP library. Sage - Pros: Sage lets you program in python, so if you want to mix in some general-purpose programming, python libraries, etc., you can.Axiom - Has a complete implementation of the Risch algorithm, so it can do some integrals that other programs can't.Somewhat buggy, and fails more often than Maxima does. Yacas - Unlike Maxima, is designed to be suitable for both interactive and noninteractive use.It's only suitable for interactice use e.g., if you do certain integrals, it will ask you whether a particular constant occurring in the integrand is positive. Maxima - In my experience, it's very mature and bug-free.For anyone who's specifically interested in OSS that runs on Linux, here are some of my impressions: Most of my analytical work on a daily basis is done using Maxima and I can safely say that the program could be a lot better than it currently is. (%i14) trigsimp(Q.trigsimp(T.transpose(Q))) Ĭomputer algebra systems are not the best to begin with, but Maxima has a very, very long way to go before it can compete with Mathematica. To reenable the Lisp debugger set *debugger-hook* to nil. Universal error handler called recursively (:ERROR NILĮrror in CONDITIONS::CLCS-UNIVERSAL-ERROR-HANDLER : Caught fatal error
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See the file COPYING.ĭedicated to the memory of William Schelter. Using Lisp GNU Common Lisp (GCL) GCL 2.6.8 (aka GCL)ĭistributed under the GNU Public License. Here's a session from just this 14:45:36 ~]$ maxima