References for Joan Lasenby's Lectures

First lecture: The gradient operator, reciprocal frames, curvilinear coordinates

C. Doran & A. Lasenby: Geometric Algebra for Physicists. CUP 2003. Chapters 4 & 6

D. Hestenes & G. Sobcyzk: Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics, Kluwer, Dordrecht/Boston (1984), paperback (1985). Fourth printing 1999. Now published by Springer.

Second lecture: Multivector differentiation and Linear Algebra

C. Doran & A. Lasenby: Geometric Algebra for Physicists. CUP 2003. Chapters 4 & 11

D. Hestenes & G. Sobcyzk: Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics, Kluwer, Dordrecht/Boston (1984), paperback (1985). Fourth printing 1999.

Third lecture: Groups, Projective Geometry and Invariants

D. Hestenes & R. Ziegler, Projective Geometry with Clifford Algebra. Acta Applicandae Mathematicae, 23, 25-63 (1991).

J. Lasenby and E. Bayro-Corrochano, Analysis and computation of projective invariants from multiple views in the geometric algebra framework. International Journal of Pattern Recognition and Artificial Intelligence, 13 (8), 1105-1122 (1999).

J. Lasenby, E. Bayro-Corrochano, A. Lasenby, and G. Sommer, A new framework for the formation of invariants and multiple-view constraints in Conference on Image Processing (ICIP'96), Institute of Electrical and Electronics Engineers, 313-316 (1996).

D.Hestenes. Point Groups and Space Groups in Geometric Algebra. In L. Dorst, C. Doran, and J. Lasenby (eds.) , Proceedings of the Conference on Applications of Geometric Algebras in Computer Science and Engineering (AGACSE 2001). Birkhauser,


Forth lecture: Applications in Computer Vision, Fluids, Elasticity…

J. Lasenby and A. X. S. Stevenson, Using geometric algebra for optical motion capture. In Geometric Algebra with Applications in Science and Engineering (E. Bayro-Corrochano and G. Sobczyk, eds.), 147-167 (2001).

A.N. Lasenby, Geometric Algebra as a unifying language for Physics and Engineering and its use in the study of Gravity. Slides for the invited plenary lecture AGACSE 2015.

C. Doran & A. Lasenby: Geometric Algebra for Physicists. CUP 2003. Chapter 6