Indicial Notation and Tensor Components

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Explores general covariance in gravity, covering equations, curvature tensor, and static gravity field.

Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.

Covers linear algebra in Dirac notation, emphasizing the scalar product and density product in quantum computations.

Covers the basics of vectors in 3 dimensions, including representation, unit vectors, and basis transformations.

Explores the second fundamental tensor and its role in calculating normal curvature on surfaces.

Introduces continuum mechanics, focusing on conservation laws and kinematics for continuous media.

Explores chemical environment representations, symmetrized correlations, and machine learning applications at the atomic scale.

Covers the transformation of vectors and tensors in quantum physics.

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.