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Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
Explores the axiom of separating the plane into two half-planes and the concept of interior points.
Explores Dirichlet series convergence properties and absolute convergence conditions, with examples and applications.
Explores non-Euclidean geometries, including hyperbolic geometry and the tractricoid model, challenging Euclidean principles and introducing projective geometry.
