Mathematical Physics


Multiplication of Vectors and Structure of 3D Euclidean Space

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

Download: PDF

Submission history

[v1] 2016-09-02 07:47:41
[v2] 2017-02-21 13:39:36
[v3] 2017-03-11 12:26:41
[v4] 2017-05-20 09:37:11
[v5] 2017-05-23 08:59:11

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