Lectures related to Rational Powers: Definition and Properties

Introduces the fundamentals of structural mechanics, covering equilibrium, boundary conditions, free-body diagrams, and constraints.

Explores the definition of connections for smooth vector fields on manifolds.

Covers the definition and properties of plasma, including ionization and collective effects.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Explores surjections in linear algebra, demonstrating their importance in mapping elements between sets.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Explores Newton's binomial theorem and real sequences with examples and definitions.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.