Tensor Analysis: Coordinate Systems

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Related lectures (30)

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Tensor Properties

Covers the properties of tensors and their applications in various fields.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Coordinate Systems and Vectors

Covers the concept of coordinate systems, landmarks, and vectors in space.

Vectors and Tensors

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

Mechanics of Slender Structure

Covers the expression of the Kirchhoff-St. Venant energy in a covariant setting and the equilibrium equations for spherical shells, among other topics.

Chemical Environments: Representations and Correlations

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

Lorentz Transformations and Covariant Tensors

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Coordinate Vector Operations

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Linear Independence and Bases

Covers linear independence, bases, and coordinate systems with examples and theorems.