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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Geometric algebra

The course is not on the list Without time-table
Code Completion Credits Range Language
XP01GAL ZK 4 2+2 Czech
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

The course will explain 3D graphics and 3D kinematics using the modern formalism of geometric algebra.

Requirements:
Syllabus of lectures:

1. Linear spaces and bilinear forms.

2. Orthogonality w.r.t. a bilinear form. Symplectic and quadratic geometry. Orthogonal group.

3. Classical vector model of geometric algebra.

4. Clifford algebra, inner and outer products.

5. Generalised inner and outer products; their geometric meaning.

6. Transformations as elements of geometric algebra, outermorphisms.

7. Versors, rotors and spinors.

8. Basic linear transformatins in 3D.

9. Projective model of geometric algebra.

10. Computations in projective model.

11. Geometry of Minkowski's spacetime, conformal and affine splits.

12. Conformal model of geometric algebra.

13. Computations in conformal model.

Syllabus of tutorials:
Study Objective:
Study materials:

[1] Leo Dorst, Daniel Fontijne, Stephen Mann, Geometric algebra for Computer science, Elsevier, 2007.

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2020-01-22
For updated information see http://bilakniha.cvut.cz/en/predmet3991206.html