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Why All Maps Are Wrong - Theorema Egregium

Why All Maps Are Wrong - Theorema Egregium

Mathemaniac via YouTube Direct link

Chapter 3.4: Area = holonomy on sphere

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Chapter 3.4: Area = holonomy on sphere

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Classroom Contents

Why All Maps Are Wrong - Theorema Egregium

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  1. 1 Introduction
  2. 2 Chapter 1: Curvature
  3. 3 Chapter 2: Spherical areas
  4. 4 Chapter 3.1: Gauss map preserves parallel transport
  5. 5 Chapter 3.2: Geodesics preserved
  6. 6 Chapter 3.3: Parallel transport preserved
  7. 7 Chapter 3.4: Area = holonomy on sphere
  8. 8 Chapter 4: Tying everything together

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