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    Home : All Products : Third Party : atlas™ - modern differential geometry for Maple™
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atlas - differential geometry for maple

Product Description:

The Atlas package is a powerful Maple toolbox which allows you to solve a variety of differential geometry problems using a simple computational scheme. The computational process is highly automated which allows you to save time by concentrating your efforts on the problem not on the programming.

For low dimensional (2-D and 3-D) problems the package contains atlasWizard - a Maplet tool which generates corresponding atlas package code and allows you to formulate and solve problems in seconds. This makes the package an ideal tool for the teaching and learning of corresponding differential geometry courses.

The Atlas package allows you to do some differential geometry calculations with symbolic dimension. All the results are given in standard mathematical notations and all calculations are as coordinate free as possible.

The unique quality of the package is its ability to work with manifolds and mappings. With the Atlas package you can define N-dimensional manifold as a set of charts and mappings (an atlas on the manifold) and then do calculations on defined charts. You are also able to transform tensor fields and p-forms from one chart into another, which allows you to work with a manifold geometry as a whole
(see atlas package Reference Manual, features and examples).


Intended Audience:
  • Educators and students using, teaching and learning differential geometry.
  • Researchers, scientists and engineers who work with differential geometry and general relativity.
  • Scientists, researchers, mathematicians, physicists, engineers and educators in a wide range of fields including differential geometry as a mathematical background.





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