I have at last brought out a book aimed at introducing people to geometric algebra and geometric calculus. Here is a pdf exhibiting the cover, the table of contents, and the preface: An Introduction to Geometric Algebra and Geometric Calculus .
As indicated in the preface, the book was written specifically with advanced undergraduate and beginning graduate math majors in mind, but I hope it will be accessible to readers coming from other disciplines as well.
Here are links to a few sites where it can be purchased: Barnes & Noble, Willdmansbooks, and Amazon.