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Differential Geometry in Physics
An expert-level course on Differential Geometry, the mathematical language of modern physics. Learn about manifolds, tensors, and curvature, and see how they are used to describe spacetime in General Relativity and fundamental forces in Gauge Theory.
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What is Differential Geometry?
15:30
The Biggest Ideas in the Universe | 8. Spacetime and Geometry
09:32
What’s a Tensor?
18:20
General Relativity Explained in 7 Levels of Difficulty
30:15
Manifolds and Differential Geometry | Part 1
18:50
Curvature: The Key to Understanding General Relativity
21:10
Introduction to Tensors
23:40
What is a Manifold?
07:55
The Metric Tensor
16:05
Differential Geometry – A First Course | Lecture 1
01:45:00
How Einstein Invented Spacetime
10:10
Geodesics: The Straightest Possible Lines on a Curved Surface
12:30
The Riemann Curvature Tensor
22:15
Why we need Differential Geometry in Physics
17:50
An Introduction to Differential Forms
13:45
Differential Geometry in Physics

A deep dive by Sean Carroll into the geometry of spacetime, explaining the shift from Euclidean to non-Euclidean geometry, which is the essence of General Relativity. Credit: Sean Carroll (YouTube/UCRhV0pa2gzcSm2wL2h0onxQ )

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