8/30/2023 0 Comments Mathematica for calculusExample with Lie derivative calculation:.It is really helpful to see the same results/formulas on the screen and in my textbooks. Secondly, the package uses standard differential geometry notations for exterior derivative, covariant differentiation, tensor product etc. Where are coframe 1-forms and symbol - tensor product operator. That means calculations are performed in terms of tensors, vectors and p-forms.įor example conformally flat metric tensor of sphere is presented as: Calculations are coordinate freeįirst of all in the atlas tool all calculations are coordinate free. The tool works with Mathematica 8 and Mathematica 9. The tool is available on DigiArea website and Wolfram Research website. The current version of the book is designed for Version 5.0 of Mathematica but is almost fully compatible with Versions 4.1 and 4.2.Atlas 2 for Mathematica is the add-on for doing modern differential geometry calculations. More information at the Calculus with Mathematica site. In addition, extensive use is made of a large collection of custom animations, graphics, and functions provided by the MmaCalc package. Hyperlinks throughout provide easy and convenient access to information about Mathematica functions and to relevant parts of The Mathematica Book. It should also be useful as a introduction to Mathematica with a review of calculus.Īn extensive sixteen-part Mathematica tutorial is included, covering topics from the most basic fundamentals to three-dimensional graphics and functional programming. It can also be used as a supplement to a more traditional text in courses that have a Mathematica lab component. It is mathematically complete enough to be used as a text for a highly Mathematica-focused, three-semester calculus sequence. This unique book is a collection of Mathematica notebooks, designed to be used through the Help Browser.
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