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Classical curves | Differential Geometry 1 | NJ Wildberger
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Classroom Contents
Differential Geometry - Complete Course with Classical Curves, Surfaces, and Curvature Theory
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- 1 Classical curves | Differential Geometry 1 | NJ Wildberger
- 2 Introduction to GeoGebra | Differential Geometry 2 | NJ Wildberger
- 3 Parametrized curves and algebraic curves | Differential Geometry 3 | NJ Wildberger
- 4 The differential calculus for curves, via Lagrange! | Differential Geometry 4 | NJ Wildberger
- 5 Tangent conics and tangent quadrics | Differential Geometry 5 | NJ Wildberger
- 6 Visualizing the folium surface with GeoGebra | Differential Geometry 6 | NJ Wildberger
- 7 Projective view of conics and quadrics | Differential Geometry 9 | NJ Wildberger
- 8 Duality, polarity and projective linear algebra (II) | Differential Geometry 11 | NJ Wildberger
- 9 Differential geometry with finite fields | Differential Geometry 7 | NJ Wildberger
- 10 The differential calculus for curves (II) | Differential Geometry 8 | NJ Wildberger
- 11 Duality, polarity and projective linear algebra | Differential Geometry 10 | NJ Wildberger
- 12 Metrical structure and curvature of a parabola | Differential Geometry 12 | NJ Wildberger
- 13 Curvature for the general parabola | Differential Geometry 13 | NJ Wildberger
- 14 Quadratic curvature for algebraic curves | Differential Geometry 14 | NJ Wildberger
- 15 An introduction to surfaces | Differential Geometry 21 | NJ Wildberger
- 16 Curvature, turning numbers and winding numbers | Differential Geometry 16 | NJ Wildberger
- 17 Curvature, turning numbers and winding numbers (cont) | Differential Geometry 17 | NJ Wildberger
- 18 The Frenet Serret equations | Differential Geometry 18 | NJ Wildberger
- 19 The Frenet Serret equations (example) | Differential Geometry 19 | NJ Wildberger
- 20 Geometric and algebraic aspects of space curves | Differential Geometry 20 | NJ Wildberger
- 21 A tutorial: some differential geometry problems | Differential Geometry 21 | NJ Wildberger
- 22 Topological spaces and manifolds | Differential Geometry 24 | NJ Wildberger
- 23 Manifolds, classification of surfaces and Euler characteristic | Differential Geometry 25
- 24 More general surfaces | Differential Geometry 22 | NJ Wildberger
- 25 Paraboloids and associated quadratic forms | Differential Geometry 23 | NJ Wildberger
- 26 Classification of 2-manifolds and Euler characteristic | Differential Geometry 26 | NJ Wildberger
- 27 Curvature for the general paraboloid | Differential Geometry 28 | NJ Wildberger
- 28 Curvature for general algebraic surfaces | Differential Geometry 29 | NJ Wildberger
- 29 Examples of curvatures of surfaces | Differential Geometry 30 | NJ Wildberger
- 30 Meusnier, Monge and Dupin I | Differential Geometry 31 | NJ Wildberger
- 31 Meusnier, Monge and Dupin II | Differential Geometry 32 | NJ Wildberger
- 32 Meusnier, Monge and Dupin III | Differential Geometry 33 | NJ Wildberger
- 33 Gauss, normals and fundamental forms | Differential Geometry 34 | NJ Wildberger
- 34 Gauss's view of curvature and the Theorema Egregium | Differential Geometry 35 | NJ Wildberger
