Geometric (Clifford) algebra a practical tool for efficient geometric representation
Geometric (Clifford) algebra a practical tool for efficient geometric representation
Geometric (Clifford) algebra a practical tool for efficient geometric representation
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.
This book covers the following
topics: The inner, outer, and geometric products, Geometric algebra in
Euclidean space, projections, reflections, and rotations, Frames and
bases, Linear algebra.
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.