20 problems.
- Matrix of the half-turn about a prescribed axis in \(\mathbb R^3\)
- A continuous function with periods \(1\) and \(\sqrt2\) is constant
- Two contour integrals around the integers \(0,\dots,k\)
- Limit of a multiplicative difference quotient for a positive differentiable function
- The identity is the only field automorphism of \(\mathbb R\)
- Two square-zero operators satisfying \(AB+BA=I\)
- Volterra and Fredholm integral equations with kernel \(e^{x-y}\)
- Points of the unit disk where a polynomial matrix is singular
- Isomorphism of two quotients of \(\mathbb Z^2\) by rank-two sublattices
- Surjective ring homomorphisms from \(\mathbb C^n\) to \(\mathbb C\)
- An orthonormal rational family on the real line
- A mean-value subfunction inequality forces convexity
- Commuting complex matrices have a common eigenvector — Problem 13
- Lebesgue number for a ball cover of a compact subset of \(\RR^n\) — Problem 14
- Every Euclidean isometry of the plane is affine orthogonal
- \(\mathbb F_p[x]/(x^2-2)\) versus \(\mathbb F_p[x]/(x^2-3)\) for \(p=2,5,11\)
- Finite-dimensional differentiation-invariant function spaces are translation-invariant
- Coefficientwise convergence under an entire majorant gives compact-uniform convergence
- \(\QQ\) is not finitely generated as a group — Problem 19
- The contour integral \(\int_{|z|=1}(e^{2\pi z}+1)^{-2}\,dz\)