Geometric algebra is a powerful and practical framework for the representation and
solution of geometrical problems. We believe it to be eminently suitable to those subfields
of computer science in which such issues occur: computer graphics, robotics, and
computer vision. We wrote this book to explain the basic structure of geometric algebra,
and to help the reader become a practical user. We employ various tools to get there:
• Explanations that are not more mathematical than we deem necessary, connecting
algebra and geometry at every step
• A large number of interactive illustrations to get the “object-oriented” feeling of
constructions that are dependent only on the geometric elements in them (rather
than on coordinates)
• Drills and structural exercises for almost every chapter
• Detailed programming examples on elements of practical applications
• An extensive section on the implementational aspects of geometric algebra (Part III
of this book)