Metric Tensor in Non Orthonormal Basis | Tensor Intuition

Опубликовано: 28 Октябрь 2024
на канале: The Cynical Philosopher
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Calculating the dot product using non-orthonormal bases in a Euclidean space. This means that our metric tensor will have different elements than just 1's in the diagonal and 0's in the off-diagonal, but it still describes the same space, just using different basis vectors.

Lecture Notes: https://authortomharper.com/wp-conten...


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Youtube Playlists on Tensors
eigenchris
Tensors for Beginners:    • Tensors for Beginners  
Tensor Calculus:    • Tensor Calculus  
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Andrew Dotson
New to Tensors?    • New To Tensors? Start Here  
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What is a Tensor?    • What is a Tensor?  
What is General Relativity?    • What is General Relativity?  

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A Student’s Guide to Vectors and Tensors by Daniel A. Fleisch
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Spacetime and Geometry: An Introduction to General Relativity by Sean M. Carroll
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