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Related lectures (32)
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Linear Algebra: Multilinear Groin and Determinants
Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.
Linear Algebra: Multilinear Forms
Explores multilinear forms in linear algebra, emphasizing their properties and applications.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Linear Algebra: Multilinear Forms
Introduces multilinear forms in linear algebra, emphasizing clarity and logic in presentation.
Lax-Milgram: Variational Problems and Riesz's Theorem
Explores the Lax-Milgram theorem, variational problems, and Riesz's representation theorem in linear elliptic problems.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Multilinear Forms: Notation & Applications
Covers multilinear forms in n variables over a k-vector space, emphasizing notation and applications.
Permutations and Signature
Explores permutations, signature, and alternating multilinear forms in vectors.
Introduction to Structural Mechanics
Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.
Orthogonality and Inequalities
Explores symmetrical bilinear forms, the Pythagorean theorem, inequalities, and orthogonal matrices.