[abdullahkhalids]

- Far better language design, actually designed from ground up to write Mathematics in, rather than hacked in later.

- Specially, the language supports symbolic computation natively. In a lot of software, you have to declare symbols as symbolic variables before using them. In Mathematica, you don't have to deal with this nonsense.

- A library of both symbolic and numerical algorithms that is far far far better than any other library out there. Especially its outstanding how much symbolic computation algorithms are built in. Fairly fast numerical algorithms as well. Best of all, Mathematica guesses the best algorithm to use in a particular situation with frightening accuracy.

- A lot of Maths is just built in. Example: A number of common Groups are just there for you to immediately start playing with.