atlas - modern differential geometry for Maple

The atlas package is powerful Maple toolbox which allows you to do any differential geometry calculation using one and the same simple computational scheme, it means that the computational process is highly automated and you can concentrate your efforts on the problem not on the programming.
For low dimensional (2D and 3D) problems the package provide atlas 2D/3D Wizard - a Maplet tool which generates corresponding atlas package code and allows you to formulate and solve such a problem in some seconds. This makes the package an ideal tool for teaching and learning of corresponding differential geometry courses.
The package allows you to do some differential geometry calculations with symbolic dimension, all 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 atlas package you can define N-dimensional manifold as a set of charts and mappings (an atlas on the manifold) and then do any calculations on defined charts; transform tensor fields, p-forms etc. from one chart into another and so on, in other words it allows you to work with a manifold geometry as a whole