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Learn the fundamental concepts of differential geometry in this 34-minute lecture that introduces the notion of differentiable manifolds and surveys their foundational features. Explore essential topics including charts and atlases, transition functions, maximal atlas and differential structure, smooth maps between manifolds, and diffeomorphisms to build a solid mathematical foundation for advanced geometric studies.
Syllabus
Mathematical Preliminaries-1:Basics of Differential Geometry-1
Taught by
NPTEL-NOC IITM