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Actually, the most

Actually, the most interesting math application mentioned (but not discussed) in the the Math-Blog article may well be William Stein's: www.sagemath.org
This Python-based, continually evolving (v4.1) conglomeration of apps contains not only Maxima, but also sixty-odd other open source math research packages. Great for learning math too (a kind of "no-limitations", abstract graphing calculator), what with all the excellent introductory books to Python now as well! I also hear from the Norwegian GeoGebra Institute (www.geogebra.no) that there are quite possibly future plans for cooperation between GeoGebra and Sage. Pedagogical pyrotechnics! See also the following open source math apps: www.xyalgebra.org; www.geogebra.org; www.parabel.no; www.brightstat.com (www.mathtutor.ac.uk)
Sound scientific principles underlying the use of open source math software: www.ams.org/notices/200710/tx071001279p.pdf
The History and Concept of Mathematical Proof: www.math.wustl.edu/~sk/eolss.pdf

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