Some Slides and Notes
- Questions, Motivations, Problems
- Basics on Affine spaces I (slides)
- Basics on Affine spaces II, Convex Sets, a first look (slides)
-
Convex sets: A deeper look (slides)
- Convex sets, Polyhedra and Polytopes: A deeper look (Notes)
(ps)
(pdf)
- Euclidean Geometry (Gram-Schmidt) I (slides)
- Euclidean Geometry (linear isometries, The Groups O(n), SO(n), QR-decomposition, the Cartan-Dieudonne' theorem) II (slides)
- Euclidean Geometry (linear isometries, QR by Householder matrices, affine isometries, the Groups Is(n), SE(n), fixed points, Cartan-Dieudonne' thm for rigid motions, flips) III (slides)
- Euclidean Geometry (Orientation, angles, volume forms, cross products) IV (slides)
- Euclidean Geometry (Quaternions and rotations in SO(3) and SO(4)) V (slides)
-
Polyhedra and Polytopes: A deeper look (slides)
- Zvi Har'el's web site
- The Uniform Polyhedra (web site)
- Polyhedra Collection (Bulatov web site)
- Encyclopedia of Polyhedra (George Hart web site)
- George Hart's web site
- Paper models of polyhedra
- Polyhedra
- Polyhedra Pastimes
- Unfolding Polyhedra
-
Tom Getty's Polyhedra
- Voronoi Diagrams (slides)
- Hermitian Spaces (slides)
-
Isometries of Hermitian Spaces and Hilbert Spaces (notes)
-
Clifford algebras, Clifford groups, and the groups
Pin and Spin (notes)
(ps)
(pdf)
- Spectral Theorems (Symmetric, Skew-Symmetric, Normal matrices) (slides)
- Polar Form and SVD (slides)
- Least squares, Pseudo-inverses, Minimization of quadratic functions using Lagrange multipliers
- Lie Groups and Lie Algebras, the exponential map, part I
- Lie Groups and Lie Algebras, the exponential map, part II
-
Notes on Group Actions, Manifolds, Lie Groups and Lie Algebras
- Bibliography (from book))
- Basic Linear Algebra, Determinants