Understanding Geometric Algebra for Electromagnetic Theory
This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison.
Professors can request a solutions manual by email: firstname.lastname@example.org
What people are saying - Write a review
We haven't found any reviews in the usual places.
Applying the Abstraction
Review of 3+1D
Relating Spacetime to 3+1D
Change of Basis Vectors
Further Spacetime Concepts
Other editions - View all
3+1)D vector 3D geometric algebra apply axial vector basis elements basis vectors charge’s commutes components corresponds Coulomb’s law dimension electric field electromagnetic field electromagnetic theory evaluate example expressed ﬁnd free space geometric algebra given inner and outer inner product Lorentz force Lorentz transformation magnetic field Maxwell’s equation metric signature motion multiplication multivector n-vectors null vector object observer observer’s orthogonal orthonormal outer product parallel parameter paravector particle particle’s perpendicular point charge polarization potential proper velocity pseudoscalar reference frame relative vectors replaced represented rest frame result rotation scalar simply source density spacelike bivector spacetime form spacetime geometric algebra spacetime split spacetime vector spatial vector special relativity t-frame timelike bivector translation trivector txyz vector and bivector vector derivative vector space wave equation whereas γ γ θ θ