Irreducible Polynomials: Degree and Roots

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Covers the fixed points of the Ruelle-Thurston operator and its applications in complex analysis.

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.

Explores polynomial equations, their degree, solutions, and domain definition.

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

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

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Delves into local degrees of continuous maps from the sphere, showcasing their role in calculating map degrees.

Covers the functional equation of zeta function and Jensen's formula in complex analysis.