nptel.ac.in
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nptel.ac.in is India's National Programme on Technology Enhanced Learning, offering online courses from IITs and IISc with video lectures, lecture notes, assignments, and quizzes across engineering, science, and mathematics. It provides structured course content, including topics in differential geometry and tangent spaces, with options to earn certificates on completion.
More resources on Tangent Spaces
Math Stack Exchange: Tangent Space Discussions
Community Q&A on tangent spaces
Lectures on the Geometric Anatomy of Theoretical Physics
Learn tangent-spaces & geometric anatomy for theoretical physics with Frederic Schuller's lectures. Explore advanced concepts.
nLab: Tangent Space
Comprehensive reference with category theory perspective, linked in advanced Reddit discussions
Differential Geometry
Explore tangent spaces with this differential geometry course by George Lusztig. Learn key concepts at MIT OpenCourseWare.
Lectures on the Geometric Anatomy of Theoretical Physics
Learn geometric anatomy for theoretical physics with Frederic Schuller! This course explores tangent-spaces and more.
mathworld.wolfram.com
MathWorld is an extensive online mathematics encyclopedia from Wolfram Research that provides detailed articles on mathematical topics—definitions, theorems, formulas, and worked examples—with rich cross-references and diagrams. It covers a wide range of subjects, including differential geometry topics like tangent spaces.