Hi, I would like to try out symbolic programming. I know maple,
mathematica and others are computer algebra system that let you do
that, but they are not primitive languages. I would like to write and
run a very simple program [something like expanding (x^2 + 3)^2/(x)]
but written in a language like C or C++ or other. Do you know which is
the best and easiest programming language for symbolic computation?
And is there like a book which teaches symbolic math programming (I
know there are books who present general algorithms like the book of
Symbolic Integration by Bronstein, but this is of little use to me
now, because it's not fully practical, I need something like symbolic
programming for dummies with all details). Thanks

Dear Newsgroup:

http://mathforum.org/kb/thread.jspa?threadID=1738753&tstart=0

As I have mentioned before once a polynomial is solved in a class, it
has variety of applications, such as solving Riccati.

The following is a Riccati differential equation where, M(t),N(t) and
R(t) are arbitrary functions derived from the polynomial of degree
110, posted before on this topic

I have its general solution, without any integrals present.

Start substituting variety of values to its functions to see what
Maple presents the solution (like M(t)=t+1,N(t)=1/
(t^2-1),R(t)=3*t^4,and many more).

I will enclose its Maple input on file t1.

This is a member of a class, so, I have thousands like this in each
class, depending on computer memory and speed.

In some cases many solutions of Maple in terms of integrals and
hypergeometric functions will be solved, simply because I have its
general solution (of DE).

Those who think that I have no new ideas! , behave, as if stupidity
were a virtue.