20 problems.
- Fourier series and pointwise sum of the periodic sawtooth
- Pointwise limits of uniformly Lipschitz functions are continuous
- Minimal \(L^2\) norm of a quadratic polynomial with prescribed endpoint value
- A contour integral as the radius crosses a pole
- A coefficient inequality forces a holomorphic disk function to be injective
- Coset action under a small-index factorial bound
- If \(2^n+n^2\) is prime then \(n\equiv3\pmod6\)
- Four assertions about diagonalizable matrices
- Centralizer of an explicit real \(2\times2\) matrix
- Equilibria and long-time behavior for \(x'=(x^3-x)/(1+e^x)\)
- Surface integral of \(x^2+y+z\) over the unit sphere
- Trace of left multiplication by a \(3\times3\) matrix
- Orders of transitive subgroups of symmetric groups
- A real fourth root of a \(3\times3\) matrix
- A vector space over an infinite field is not a finite union of proper subspaces
- A proper local diffeomorphism \(\mathbb R^n\to\mathbb R^n\) is surjective
- Element orders \(20\) and \(18\) in \(S_9\)
- Uniformly negative symmetric coefficients force decay in a linear ODE
- Area formula for a univalent power series on the disk
- Analytic maps between annuli with prescribed boundary-circle images