Geometric Algebra for Physicists

by Chris Doran, Anthony Lasenby

This book is a complete guide to the current state of geometric algebra with early chapters providing a self-contained introduction. Topics range from new techniques for handling rotations in arbitrary dimensions, the links between rotations, bivectors, the structure of the Lie groups, non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored.

Genres: Physics, Mathematics, Geometry, Science, Nonfiction, Algebra

594 pages, Paperback

First published May 29, 2003

Reviews

[Wojciech · Rating 4 out of 5]

At the beginning of the book great explanations for where cross products come from, why they only exist in 3 dimensions and how they relate to quaternions and complex numbers. Later the book goes on to rewrite a lot of physics in terms of "new" operations and explains why they're better.

First part - very useful and interesting.

The rest - seems like it might be very cool for people who really care about neat and elegant math, but I suppose not particularly useful if you treat math as a practical tool. I have a feeling mathematicians might enjoy this book more than physicists, despite the title ;)