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Exterior algebra
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Related lectures (30)
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Vector Algebra: Scalar Product
Explores the scalar product of vectors, including properties and calculation methods.
Change of Variables Theorem
Explores the change of variables formula in higher dimensions and its application through an example.
Lyapunov Functions: Construction and Properties
Explores Lyapunov functions, Chetaev's theorem, and differential forms classification.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
Linear Algebra: Multilinear Forms
Introduces multilinear forms in linear algebra, emphasizing clarity and logic in presentation.
Vector Decomposition: Scalar and Vector Products
Covers the decomposition of vectors into scalar and vector products.
Derivative of a Product of Functions
Explores the derivative of a product of functions and discusses algebraic products and scalar products of functions.
Vector Product: Antisymmetric Coordinates
Covers the vector product and its geometric interpretation in a Cartesian coordinate system.
Geometric Places: Symmetry and Properties
Covers geometric places, symmetry, alignment, circles, radii, diameters, and more in a plane.
Linear Algebra: Multilinear Forms
Explores multilinear forms in linear algebra, emphasizing their role in vector space transformations.