**Grassmann Algebra Volume 1: Foundations**

**Exploring extended vector algebra with Mathematica**

**The chapters:** 1. Introduction || 2. The Exterior Product || 3. The Regressive Product || 4. Geometric Interpretations || 5. The Complement || 6. The Interior Product || Biography of Grassmann || Notation || Terminology || Glossary || Bibliography || Index

**Download the detailed Table of Contents: Table Of Contents.pdf [19 pages]**

**The primary purpose of this book** is to provide a readable account in modern notation of Grassmann's major algebraic contributions to mathematics and science. I would like it to be accessible to scientists and engineers, students and professionals alike. Consequently I have tried to avoid all mathematical terminology which does not make an essential contribution to understanding the basic concepts. The only assumption I have made about the reader's background is that they have some familiarity with basic vector algebra.

**The secondary purpose of this book** is to provide an environment for exploring Grassmann algebra. For general applications in higher dimensional spaces, computations by hand in any algebra become tedious, indeed limiting, thus restricting the hypotheses that can be explored. For this reason, the book is accompanied by a package for exploring the algebra written in a computer algebra system (Mathematica). You can read the book without using the package, or you can use the package to extend the examples in the text, experiment with hypotheses, or explore your own interests. You will need *Mathematica* to run the package.

**E****xplore Grassmann Algebra Volume 1**

The support site for the book is grassmannalgebra.com. From there you can view or download parts of it or link to its open access Google Books version. Print copies are available at Amazon.

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