Differential of a Morphism

Related lectures (29)

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Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers strategies for matrix operations and the concept of vector spaces.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.