Advice for Buying a Math Program for a Junior Math Major

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So here's the situation:
I am going to be a junior (this fall), and am majoring in mathematics. That being said, I have just about zero computer background (although I am taking computer science 1 in the fall, as I think it would be a good thing to learn). So anyway, I decided I want to buy a laptop and put some "heavy duty" math programs on it. I was wondering if there was a math program(s) that any fellow math people would recommend- like mathematica, maple, matlab, etc... Also how hard are they to learn how to use? Like I said, right now I know just about zero programming stuff, and have had no experience with these programs (I've done everything on paper so far). Any advice?
 
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Maple is very powerful and easy to learn. If you're looking for a free alternative, I recommend maxima.
...and have had no experience with these programs (I've done everything on paper so far). Any advice?
Yea, try to keep it this way. Its better!
 
I'm agree

It's absolutely better to do most things on paper, however, a computer can be a very helpful tool. I think students have to be careful to not use it to do their work- but I also believe if used correctly, it can aid learning... but what do I know? I've had very little experience with them. Anyway, thanks for the reply!
 
Even with an educational discount, most of the biggies are still pretty expensive, with Mathcad perhaps being an exception (student edition is pretty limited though). Without a lot of computer or programming experience, you'll have a pretty steep learning curve to climb. I'd recommend adding a few introductory programming courses to your schedule.

If you're on a budget (and what university student isn't?), I recommend the following free alternatives:

* Octave - Matlab like clone (http://www.gnu.org/software/octave/)
* R - S like clone for doing stats (http://www.r-project.org/)
* Maxima - for doing symbolic stuff (http://maxima.sourceforge.net/)

All of them have pretty self-contained binaries available for Windows.
 
I recommend Maple for a mathematician but before buying a software consult to your department's system administrator. Some universities have a campus license for some programs. Learning Maple may be harder than some other but it worths. I also recommend you to learn a programming language like Fortran for numerical cases. Octave and Maxima are very good programs and having a knowledge about them would be nice for you.
 
Thanks

Thanks for the replies, they have been helpful.