Differential Geometry in Physics

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About Course

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.

What Will You Learn?

  • Learn the mathematical language of General Relativity

Course Content

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.

  • 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

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