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Tensor analysis
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Tensor analysis
Related lectures (29)
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Vectors and Tensors
Covers the basics of vectors in 3 dimensions, including representation, unit vectors, and basis transformations.
Vector Components and Operations
Covers vector components, projections, conventions, operations, and mathematical identities.
Differential Geometry of Surfaces
Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Mathematical Basics: Vectors
Covers the fundamental concepts of vectors, including their characteristics and calculation methods.
Decomposition of a Vector
Covers the decomposition of a vector in a base and its applications in speed and distance calculations.
Tensor Operations: Dot and Cross Products
Covers tensor operations, focusing on dot and cross products and their geometric interpretation.
Thermodynamics of Continuous Media
Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.
Review of Newtonian Mechanics and Vector Math
Covers Newtonian mechanics, forces, moments, equilibrium, vector math, and problem-solving steps.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Indicial Notation and Tensor Components
Covers the manipulation of indicial notation and tensor components, focusing on concepts such as indical notation, free indices, contraction, and the dot product.
