In the first two parts of this book, we have given an abstract description of geometric algebra that is mostly free of coordinates and other low-level implementation details. Even though we have provided many programming examples, this may still have left you with a somewhat unreal feeling about geometric algebra, and an impression that any implementation of geometric algebra would be computationally prohibitive in a practical application. To address these concerns, Part III gives details on how to create an efficient numerical implementation of geometric algebra.

We describe the implementation of all products, operations, and models that were used in the preceding parts. The description is from the viewpoint of representing ...

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