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Modern Differential Geometry for Mathematica 9
The Atlas project team is pleased to announce the release of the Mathematica 9 version of the Atlas 2 for Mathematica package. Atlas 2 for Mathematica is the add-on for doing modern differential geometry calculations. The tool is available on DigiArea website and Wolfram Research website. http://www.wolfram.com/products/applications/atlas2/ http://digi-area.com/Mathematica/atlas/ Some of the main features: - Calculations are coordinate free - calculations are performed in terms of tensors, vectors and p-forms, but not their components! - Standard differential geometry notations - the tool uses standard differential geometry notations for exterior derivative, tensor product etc. which allows you to see the same results/formulas on the screen and in your textbooks. - Visualization of n-dimensional objects - the tool provides useful Visualize function to visualize n-dimensional differential geometry objects. You can explore more about the visualization here: http://digi-area.com/Mathematica/atlas/index.php#AtlasVisualization - Differential Geometry Library - the tool provides access to Differential Geometry Library directly from Mathematica. The library has over 550 objects for differential geometry and its applications. There are hundreds of Exact Solutions of Einstein's Field Equations. Atlas Palette (see below) calculates any of the objects/Exact Solutions just in seconds. You can explore Differential Geometry Library here: http://digi-area.com/DifferentialGeometryLibrary/ - Atlas palette - Mathematica palette that allows you to manipulate, visualize and calculate entities for any of the objects from the library. http://digi-area.com/Mathematica/atlas/index.php#AtlasPalette - Atlas Wizard - Mathematica wizard that solves differential geometry problems on the fly even if you have a little knowledge in the topic. http://digi-area.com/Mathematica/atlas/index.php#AtlasWizard The tool works with Mathematica 8 and Mathematica 9.