CIS 610, 2009

Some Course Notes and Slides

• Preface and Chapter 1 of GMA (pdf)
• Chapter 2 of GMA (pdf)
• Chapter 3 of GMA (pdf)
• Chapter 6 of GMA (pdf)
• Chapter 7 of GMA (pdf)
• Chapter 8 of GMA (pdf)
• Chapter 10 of GMA (pdf)
• Chapter 11 of GMA (pdf)
• Chapter 12 of GMA (pdf)
• Chapter 13 of GMA (pdf)
• Chapter 14 of GMA (pdf)
• Chapter 17 of GMA (pdf)
• GMA, Bibliography (pdf)

• Introduction, Motivations, Problems (slides) (pdf)
• Basics of Affine Geometry I (slides) (pdf)
• Basics of Affine Geometry II (slides) (pdf)
• Basic Properties of Convex sets, Separation and Supporting Hyperplanes (slides) (pdf)
• Euclidean Geometry (Duality, Gram-Schmidt) I (slides) (pdf)
• Polar Duality, Polyhedra and Polytopes (slides) (pdf)
• Euclidean Geometry (Hyperplane Reflections, the Cartan-Dieudonne' Theorem,
  QR-decomposition) II (slides) (pdf)
• Euclidean Geometry (Affine isometries, The Groups Is(n), SE(n),
  Fixed Points of Affine Isometries, Cartan-Dieudonne',
  Orientation of a Euclidean space, Generalized Cross-product) III (slides) (pdf)
• Basics of Hermitian Geometry (slides) (pdf)
• Spectral Theorems (Symmetric, Skew-Symmetric, Normal matrices)   (slides, pdf)
• Polar Form and SVD   (slides, pdf)
• Least Squares, Pseudo Inverse, PCA & SVD   (slides, pdf)
• Emdedding an Affine Space in a Vector Space; The "Hat" Construction   (slides, pdf)

• Zvi Har'el's web site
• The Uniform Polyhedra (web site)
• Encyclopedia of Polyhedra (George Hart web site)
• George Hart's web site
• Paper models of polyhedra
• Polyhedra
• Unfolding Polyhedra

• Convex sets, Polytopes, Polyhedra, Combinatorial Topology,
  Voronoi Diagrams and Delaunay Triangulations
  (book home page)
• The Classification Theorem for Compact Surfaces   (book home page)  
• Updates and Corrections for Gunter Ziegler's book (pdf)
• Lecture Notes on Differentiable Manifolds, Geometry of Surfaces, etc., by Nigel Hitchin   (html)
• ``Semi-secret'' Notes on algebraic geometry and algebra   (algebra, html)   | 
  (algebraic geometry, html)   |  (complex algebraic geometry, html)
• Basics of Algebra and Analysis   (book home page)

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Jean Gallier