Abstract Algebra in analyzing computer science

Trouble with Vakil's FOAG exercise 11.3.C

Evaluate derivative of Lagrange polynomials at construction points

Why any short exact sequence of vector spaces may be seen as a direct sum?

Confused about complex numbers

Extremely hard and stimulating (undergraduate) real analysis $problems$

Evaluating $\int\frac{\sqrt{x^2-1}}x\mathrm dx$

What are disasters with Axiom of Determinacy?

Is empty set element of every set if it is subset of every set?

Does a non-abelian semigroup without identity exist?

Integral Representation of the Zeta Function: $\zeta(s)=\frac1{\Gamma(s)}\int_{0}^\infty \frac{x^{s-1}}{e^x-1}dx$

Computing $\pi_4(S^3)$ using Serre spectral sequence

Unusual mathematical terms

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