Can someone help me on a website for the classification of quadrics(ellipsoids
parabolois,............)starting from the general second order equation.
Do you mean help you find a website?
If that is it, just search for "quadratics."
What do you mean by "classifying"?
Any book explaining basic analytic geometry will tell you enough.
Look for "completing the square" if you want more.
Look for "polynomials of degree two" or "second degree polynomials" for more.
Wikipedia article on quadrics and MathWorld's Quadratic Surfaces article has a list of the different types of quadric surfaces, and a simple Google search for "Quadrics" will turn up more.
For classification, you may need to perform a rotation of axes to eliminate the terms in its equation. Once in a normalized form, classification should be straightforward.
That's beyond my experience although I have seen it, I have never to date had access to Mathematica or similar software nor the funds to purchase it.
A former calculus teacher once told me that he wanted to teach a class in Mathematica, stating, "You'll never get anywhere in mathematics without a computer." I am not so sure of what he meant by that, but I don't know if I will ever have enough discretionary cash to purchase this kind of software.
Quadratic Surface -- from Wolfram MathWorld
I wonder if a student edition of Mathematica is available and affordable.
It would be useful for help my daughter with math education.
EuMathT - Euler Math Toolbox
I don't use this program so I can't help you very much how it is used etc. But if I remember correctly CaptainBlack is somehow involved in this project.
Give it a try.
Edit: To complete your collection of useful math programs:
That's the software used at this forum to draw graphs of functions
This program is quite useful if you want to do some geometric constructions.
Certainely it isn't necessary to point out, that all computer programs are tools and you must know the math before you can use such a program appropriately.
Bradley and reckoner
Another usefull plot programme is "" WINPLOT"" you can plot 2-dim and 3-dim
mathematical expressions.You can plot in three different coordinate
systems.(cartesion,cylindrical and spherical.)
Is is free to download.In google you search for "WINPLOT" and that's all.
Easy to use.