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Geometric Algebra and its Application to Mathematical Physics
This thesis is an investigation into the properties and applications of Clifford’s geometric algebra. Topics covered includes: Grassmann Algebra and Berezin Calculus, Lie Groups and Spin Groups, Spinor Algebra, Point-particle Lagrangians, Field Theory, Gravity as a Gauge Theory.
Author(s): Chris J. L. Doran, Sidney Sussex College
244 Pages
Geometric Algebra by Eric Chisolm
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.
Author(s): Eric Chisolm
92 Pages
This lecture note talks on applications of geometric algebra, and more advanced topics in geometry.
Author(s): Cambridge University
NA Pages
An Introduction to Geometric Algebra and Calculus
This 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.
Author(s): Alan Bromborsk
199 Pages
Physical Applications of Geometric Algebra zip
This note explains new techniques in Geometric Algebra through their applications, rather than as purely formal mathematics. It introduces Geometric Algebra as a new mathematical technique to add to your existing base as a theoretician or experimentalist.
Author(s): Chris Doran and Anthony Lasenby
174 Pages
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.
Author(s): Leo Dorst
41 PagesAdvertisement
