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Tensor Transformations
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Related lectures (51)
Untitled
Continuum Mechanics: Tensor Analysis and Kinematics
Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.
Vector Transformation and Tense
Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.
Indicial Notation and Vectors
Explores indicial notation, vectors, and the transformation law in the context of mass flux density.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
Rotations: Angular Momentum
Covers angular momentum in rotations, including preservation of angles and vector products.
Tensors and Lorentz Transformations
Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
Fluid Dynamics Fundamentals
Covers deriving fluid dynamics equations, including mass conservation and stress-strain relationships, through differential analysis and key mathematical concepts.
Studying Mechanics: Vector Calculus
Covers vector calculus, including scalar and vector products, with insights from Dr. Sylvain Bréchet.
General Physics: Mechanics
Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.
Continuity Equations: Internal Entropy Production
Explores continuity equations and internal entropy production in various coordinate systems, emphasizing scalar functions and vector quantities.
Vector Product: Antisymmetric Coordinates
MOOC: Warm-up for EPFL
Covers the vector product and its geometric interpretation in a Cartesian coordinate system.
Covariant Derivatives and Christoffel Symbols
Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.
Rotations in Mechanics
Explores rotations in solid mechanics, from two-dimensional to three-dimensional scenarios, emphasizing small angles and different coordinate systems.
Scalar Products in 2D and 3D Geometry
MOOC: Linear Algebra (Part 3)
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Mechanics: Introduction and Calculus
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Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Stress Components & Transformation of Tensors
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Covers stress components, tensor transformation, and invariants in continuum mechanics.
Linear Momentum Conservation and Stress in Continuum
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Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.
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