1 WHY GEOMETRIC ALGEBRA?

This book is about geometric algebra, a powerful computational system to describe and solve geometrical problems. You will see that it covers familiar ground—lines, planes, spheres, rotations, linear transformations, and more—but in an unfamiliar way. Our intention is to show you how basic operations on basic geometrical objects can be done differently, and better, using this new framework.

The intention of this first chapter is to give you a fair impression of what geometric algebra can do, how it does it, what old habits you will need to extend or replace, and what you will gain in the process.

1.1 AN EXAMPLE IN GEOMETRIC ALGEBRA

To convey the compactness of expression of geometric algebra, we give a brief example of ...

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