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Tensor Transformations
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Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Stress Components & Transformation of Tensors
Covers stress components, tensor transformation, and invariants in continuum mechanics.
Linear Momentum Conservation and Stress in Continuum
Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.
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.