Suggestions for Maths Software
Does anyone have any suggestions for some really powerful maths software? I'm looking at two functions (they might be in two separate programs):
1) Plotting graphs (can plot implicitly?)
2) Maths (eg can do precise definite integrals, indefinite integrals, implicit calculus...)
It's not ease of use I'm looking for here - if someone thinks a command-driven piece of software is very powerful, then I'll learn how to use it. What I want is something that has a wide range of functions (for example, if something can't plot ln(x), then I'm not really interested).
Many thanks in advance