Authors: Miroslav Josipović
The text is intended as some motivational survey of geometric algebra in 3D. Proofs are short and original. Multiplication of vectors is discussed in general, then basics of geometric algebra are founded. Among others, the special relativity, quantum mechanics and electromagnetic theories are discussed, operations on subspaces, dual, hyperbolic and complex numbers, linear transformations, idempotents, nilpotents, rotations, functions on multivectors, conformal model, calculus in geometric algebra, etc. Some problems are left to reader to solve. This is a new version with extended literature, software and list of names. Some typos are corrected.
Comments: 82 Pages. geometric algebra
Unique-IP document downloads: 539 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.