This is intended as a series of lessons in geometric algebra for young people, based on the book
Miroslav Josipović
Geometric Multiplication of Vectors: An Introduction to Geometric Algebra in Physics, Birkhäuser
https://www.springer.com/gp/book/9783030017552Along with the book, there is a free implementation of 3D geometric algebra in Mathematica, Cl3spectral.nb, at
https://www.researchgate.net/project/Geometric-algebra-base-for-physics (under Project Log)
Notations and updated Literature:
Geometric multiplication of vectors_Notations stories and Literature_updated.pdf
https://www.researchgate.net/project/Geometric-algebra-base-for-physics (under Project Log)
Errata:
Geometric Multiplication of Vectors_errata.pdf can be downloaded at
https://www.researchgate.net/project/Geometric-algebra-base-for-physics(under Project Log)
About the book:
"The book is carefully done and serves an important purpose: an introduction to geometric algebra for serious undergraduate students of mathematics and physics (and engineering). This is the first credible book at this level,..." (David Hestenes)
Geometric algebra lectures 02: Geometric product
Here we discuss multiplication of vectors due to Grassmann and Clifford. The geometric product converts vector spaces to geometric algebras. It is non-commutative, associative and allows inverses.
Music: none