These course notes represent
Prof. Tisza's attempt at bringing conceptual clarity and unity to the
application and interpretation of advanced mathematical tools. In particular,
there is an emphasis on the unifying role that Group theory plays in classical,
relativistic, and quantum physics.
book covers the following topics: Basic Geometric Algebra, Geometric Calculus-
Derivative and Integration, Geometric Calculus on Manifolds, Multivector
Calculus, Multilinear Functions, Lagrangian and Hamiltonian Methods, Lie Groups
as Spin Groups and Classical Electromagnetic Theory.
This note explans the following topics: Vector space Vn over scalars such
as IR, The clifford geometric products, Inner and outer products, Bivectors in
the standard model, Bivectors in the homogeneous model, Perpendicularity,
Reflection through communication, Duality and subspace representation.