This PDF covers the
following topics related to Geometric Algebra : The question, Wish list for
doing geometry, Structure of these notes, Immersive introduction to geometric
algebra, Mathematical foundations, Geometric product and geometric
algebra, PGA for the euclidean plane, Automatic differentiation, Implementation
issues, Comparison, Conclusion.
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.