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Related lectures (31)

Page 3 of 4

Polynomials, Division, and Ideals

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

The Degree of a Covering Space

Shows the equivalence between the index of a covering space's fundamental group and the degree of the covering space.

Important Examples: Operations and Multiplication

Covers important examples related to operations and multiplication in real vector spaces.

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.

Error Analysis and Interpolation

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

Functional Equation of Zeta

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

Angles: Degrees and Triangle Sum

Introduces measuring angles in degrees and radians, the sum of angles in a triangle, and angle properties.

Linear Recurrence Relations: Solving Techniques

Explores linear homogeneous recurrence relations, solving techniques, characteristic equations, and examples like Fibonacci numbers.

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Cohomology: Cup Product

Covers the cup product in cohomology, focusing on examples and computations.