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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture introduces the concept of manifolds, defining them as sets with maximal atlases. It explains the dimension of manifolds and smooth maps between them. The lecture also covers topology, focusing on open sets, Hausdorff properties, and second-countable spaces. Tangent vectors and differentials of smooth maps are discussed in detail.