Jean Gallier, University of Pennsylvania
Gustavo Nonato, Universidade de Sao Paulo, Brazil
Luiz Vehlo, IMPA, Rio de Janeiro, Brazil
Marcelo Siqueira, Universidade Federal do Rio Grande do Norte, Brazil

Slides

• Course Overview (pdf)
• Part 1 - Foundations. Curves. (pdf)
• Part 1 - Foundations. Review of Multivariate Calculus. (pdf)
• Part 1 - Foundations. Surfaces. (pdf)
• Part 1 - Foundations. Manifolds embedded in R^N. (pdf)
• Part 1 - Foundations. Manifolds. (pdf)
• Part 1 - Foundations. Manifolds. (pdf)
• Part 1 - Foundations. Parametric Pseudo-Manifolds. (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Reconstruction). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Gluing data and p-domains). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Gluing data. Canonical domain). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Transition maps). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (More on Transition Maps. Grimm's construction). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (Building parametrizations). (pdf)
• Part 1 - Constructions. Parametric Pseudo-Manifolds
  (The user's perspective. Zorin's construction). (pdf)
• Part 2 - Splines, Subdivision and Manifolds. (pdf)
• Part 2 - Applications of Manifolds and Reseach Challenges. (pdf)
• Part 2 - Differential Operators on Manifolds, (pdf)
• Part 2 - Manifolds Harmonics. (pdf)

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Jean Gallier