Saturday, January 22, 2011

Wolfram Mathematica: An excellent computational tool

Worlfram Mathematica is an amazing tool for any one interested in doing some research in Mathematics, Physics, Chemistry and applied Sciences. The software consists of the largest integrated web of mathematical capabilities and algorithms.This software is so powerful that it is even used in Supercomputers! This software can also be used as a programming language of its own. For example you want to plot a graph of the Ionization energy vs the Atomic Number, you enter a line and you get beautifully illustrated graph. This program has no limits to the precision of the number of digits that you can calculate. For example I calculated the value of Pi upto 10 million digits. You can see its value here Pi.txt. I uploaded it. And you can create beautiful interactive visualizations. For example you can create an interactive menu showing details about every Polyhedron as shown in the picture. I strongly recommend this software to every student, this will surely deepen his interest in the subject.
"Stop Teaching Calculating, Start Teaching Mathematics".

7 comments:

  1. i agree with you mathematics is not about calculations its about concepts and axioms ,i feel happy by learning the working of calculations rather than just committing them to memory.

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  2. oh yea babes.......dis software is fab.......... nd u kno wt i recieved IISC ka brochure nd usmein unke PCs mein yeh daala hua hai 4 students use.......

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  3. One suggestion, if you want to open that Pi.txt please use the viewer in Winrar. The softwares like Notepad, Wordpad simply don't seem to open it just because its 10MB! This is that file https://sites.google.com/site/csnitclub/downloads/Pi.txt?attredirects=0&d=1

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  4. I tried integrating some so-called non integrable functions and this function even integrated them for eg. integrating e^(-x^2) gives the result 1/2 Sqrt[\[Pi]] Erf[x] where Erf is the integral of the gaussian distribution. (I am clueless)
    and integrating x^(1/2)*sin(x) gives -Sqrt[x] Cos[x] + Sqrt[\[Pi]/2] FresnelC[Sqrt[2/\[Pi]] Sqrt[x]] where FresnelC[z] is given by integral of cos((Pi*t^2)/2) from 0 to z . I am clueless yet again!
    Atleast it seems to try to integrate them

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  5. I really doubt direct integrals would be calculated the way you'd do it on paper. Numerical methods are way faster (think of integration as the limit of a sum), so Wolfram Alpha won't really differentiate between the non-integrable functions you were talking of and 'integrable' functions.

    Also, I guess a lot of Wolfram Alpha uses the same software for its backend as Mathematica, since Wolfram Alpha is the developer behind Mathematica.

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