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Lecture
Tensors and Normal Coordinates
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Related lectures (32)
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Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
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Shells I
Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.
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Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
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Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.
Shells I: Mechanics of Slender Structure
Covers thin pressure vessels, differential geometry of surfaces, and plate buckling theories.
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Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
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Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Special and General Relativity
Introduces special and general relativity, Einstein equations, and gravitational dynamics.
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Intersection of Manifolds in Exercise 8.2
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Covers the basics of tensors, including their definition, properties, and decomposition, starting with a motivating example involving Gaussian distributions.
Hodge Duality and Covariant Derivatives
Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.
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