Indicial Notation and Tensor Components

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Provides an overview of algebraic manipulations involving indices and tensors in continuum mechanics.

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Covers tensor operations, focusing on dot and cross products and their geometric interpretation.

Covers the intersection of manifolds in exercise 8.2 and fiscal year 8.8.

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Covers Newtonian mechanics, forces, moments, equilibrium, vector math, and problem-solving steps.

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.

Explores the definition and properties of the metric tensor, enabling control of geometric quantities and lengths.

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.