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This introductory course examines surfaces in differential geometry, focusing on orientability and the distinction between algebraic and parametrized surfaces. It discusses planes, spheres, surfaces of revolution, Riemann surfaces, quadrics, and the Oloid.
Syllabus
Introduction
Smooth orientable surfaces
Orientable surfaces
Algebraic and parametric surfaces
Parametric surfaces
Riemann surfaces
Planes
Spheres
Revolutions
No Lloyd
Taught by
Insights into Mathematics