LinAlg
The Geometry Calculator
Galois Groups
and Galois Covers
(CIRE course notes)
LinAlg
The Geometry Calculator
LinAlg is an experimental program for calculating with linear and spherical geometric shapes. Objects drawn in two and three dimensions can be rendered graphically. Here is a circle drawn around three given circles (circles of Apollonius):
Here is a sphere inscribed in a given tetrahedron:
Both these pictures illustrate solutions to problems requiring more than a minute's thought. Given three circles, how do you find the center and radius of the mutually tangent circle? Given four points in space, how do you find the point equidistant from the four faces of the tetrahedron? LinAlg has geometric tools for making these computations.
The language of LinAlg is the language of linear algebra: vector spaces, affine sets, intersections and joins, linear maps, images and kernals. Included in LinAlg are:
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a numeric calculator with real and complex functions |
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a complete matrix calculator with row reduction, inverses, eigenvalues, LU, QR and singular value decompositions |
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a programming language with loops and conditionals |
The installation package is an executable program that will install LinAlg on your computer. Included in the installation is a complete help file, a manual in Adobe Acrobat format, and several sample application files. All will be placed in the same folder on your computer.
Download LinAlgSetup.exe (5.6 MB)
Some users are not permitted to download executable files. You can also download the setup file compressed into a zip file.
Download LinAlgSetup.zip (5.1 MB)
If you don't have a recent copy of the Adobe Acrobat Reader, click here to download it. Acrobat(R) Reader copyright (C) 1987-1997 Adobe Systems Incorporated. All rights reserved. Adobe and Acrobat are trademarks of Adobe Systems Incorporated.
