Lectures related to Field (mathematics)

Covers the Jordan Normal Form and the identification of torsion blocks within matrices.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Covers magnetic hysteresis, coercive fields, and soft magnetic materials, including the history of coercive fields and interpreting hysteresis curves.

Projective Plane Curves

Introduces projective plane curves, degrees, components, multiplicities, intersection numbers, tangents, and multiple points, culminating in the statement of Bézout's theorem and its consequences.

Renormalization Group in Field Theory

Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.

Characterizing Fibrations in Chain Complexes

Explores the characterization of fibrations and acyclic fibrations in chain complexes.

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Rational Numbers Operations

Explains the properties of addition and multiplication in Q with illustrative examples.