Mathematics of General Relativity Part 1

8 videos • 20,897 views • by Mathview Introduction to the Mathematics of General Relativity using the classic Einstein index calculus notation. Topics | Covariant and Contravariant Coordinates of a Vector | Metric Tensor | Arc Length | Coordinate Transformations | Top Ten Useful Theorems in Differential Geometry | Examples |
1
What are Contravariant and Covariant Components of a Vector? Part 1
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2
What are Contravariant and Covariant Components of a Vector? Part 2
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3
Differential Geometry Part 3 Transformations and the Metric Tensor
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4
Vector Fields and Tensors Differential Geometry Part 4
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5
How do I get the arc length from the metric tensor? Geometry Part 5
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6
Top Ten Theorems: Metric Geometry Part 1
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7
Top Ten Theorems: Metric Geometry Part 2
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8
Top Ten Theorems: Metric Geometry Part 3
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