Smooth Manifolds: Setup

In course

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Description

This lecture introduces the concept of smooth manifolds, focusing on the definition and properties of these mathematical structures. The instructor clarifies the meaning of 'smooth' and emphasizes the importance of understanding submanifolds of linear spaces before delving into general manifolds. Different definitions of smooth submanifolds are presented, with an emphasis on practicality and theoretical equivalence.

In MOOC

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_fvxtpqcj

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

Algebra: Linear algebra

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