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Manifolds, Classification of Surfaces and Euler Characteristic - Differential Geometry

Insights into Mathematics via YouTube

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This course informally introduces manifolds and examines compact two-dimensional surfaces. It uses the Euler characteristic to explain their classification, including the classification theorem and its proof.

Syllabus

Introduction
What is a manifold
Manifolds as Euclidean space
Continuous manifolds
Euler characteristic
Subdividing
Sphere or not
Classification theorem
Proof

Taught by

Insights into Mathematics

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