Linear and Geometric Algebra (Geometric Algebra & Calculus) - Softcover

Macdonald PhD, Alan

Softcover

ISBN 10: 1453854932 ISBN 13: 9781453854938

Publisher: CreateSpace Independent Publishing Platform, 2011

Synopsis

This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics.

This is the July 2026 printing. The important Section 6.3, How Geometric Algebra Works, has been improved.
There are minor improvements in the text. All errors known to me have been corrected.

Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics. And geometric algebra does much more.
Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas. They provide a unified mathematical language for many areas of physics, computer science, and other fields.

The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text.

Visit the book’s web site for more information: http://faculty.luther.edu/~macdonal/laga

I commend Alan Macdonald for his excellent book! His exposition is clean and spare. He has done a fine job of engineering a gradual transition from standard views of linear algebra to the perspective of geometric algebra. The book is sufficiently conventional to be adopted as a textbook by an adventurous teacher without getting flack from colleagues. Yet it leads to gems of geometric algebra that are likely to delight thoughtful students and surprise even the most experienced instructors.
-- David Hestenes, Distinguished Research Professor, Arizona State University

About this title

About the Author

Alan Macdonald is Professor Emeritus of Mathematics at Luther College in Decorah Iowa. He received a PhD in mathematics from The University of Michigan in 1970. His research interests include geometric algebra and the foundations of physics. His web page is at http: //faculty.luther.edu/ macdonal

Edition details

• Publisher: CreateSpace Independent Publishing Platform
• Publication date: 2011
• Language: English
• ISBN 10: 1453854932
• ISBN 13: 9781453854938
• Binding: Paperback
• Number of pages: 224