Related lectures (28)
Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Parallel Flow Instability
Explores parallel flow instability, velocity ratio effect, and solving the Rayleigh equation.
Stereographic Projection and Metric Tensors
Explores stereographic projection and metric tensors on hyperbolic planes, emphasizing isometry and conforming models.
The Discriminant: Symmetry and Orbits
Explores the discriminant's role in equations, symmetry, and orbits in mathematical spaces.
Introduction to Non-Euclidean Geometry
Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.
Non-Euclidean Geometries
Explores non-Euclidean geometries, including hyperbolic geometry and the tractricoid model, challenging Euclidean principles and introducing projective geometry.
Unit Tangent Bundle of Hyperbolic Spaces
Covers the unit tangent bundle of hyperbolic spaces and geodesic flows.
Parallel Flow Concepts: Mixing Layers
Explores parallel flow concepts, focusing on mixing layers, dispersion relations, and stability analysis through eigenvalues.
Hyperbolic Geometry
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Introduction to Euclidean Elements
Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

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