Tisza L. Applied Geometric Algebra 2023

Textbook in PDF format

Algebraic Preliminaries
Groups
The geometry of the three-dimensional rotation gro
The n-dimensional vector space V(n)
How to multiply vectors? Heuristic considerations
A short survey of linear groups
The unimodular group SL(n, R) and the invariance
On “alias” and “alibi” The Object Group
The Lorentz Group and the Pauli
Introduction to Lorentz Group and the Pauli Algebra
The Corpuscular Aspects of Light
On Circular and Hyperbolic Rotations
The Pauli Algebra
Pauli Algebra and Electrodynami
Lorentz Transformation and Lorentz force
The Free Maxwell Field
Spinor Calculus
From triads and Euler angles to spinors A heuristic
Rigid Body Rotation
Polarized light
Relativistic triads and spinors A preliminary discus
Review of SU and preview of quantization
Supplementary Material on the P
Useful formulas
Lorentz invariance and bilateral multiplication
Typical Examples
On the us of Involutions
On Parameterization and Integration
Problems
Problems
References
Index