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Lecture
Tensor Properties
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Related lectures (29)
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Covariant Derivatives and Christoffel Symbols
Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.
Christoffel Symbols and Gravity Before Einstein
Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.
Tensor Analysis: Coordinate Systems
Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.
Tensors and Lorentz Transformations
Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
Differential Geometry of Surfaces
Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Covariant and Contravariant Tensors: Maxwell Field Strength
Explores contravariant and covariant tensors, Maxwell field strength, and Lorentz invariance in linear transformations and metric properties.
Special and General Relativity
Introduces special and general relativity, Einstein equations, and gravitational dynamics.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Stress Components & Transformation of Tensors
Covers stress components, tensor transformation, and invariants in continuum mechanics.
Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
