The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

We derive a new variational principle, leading to a new momentum map and a new multisymplectic formulation for a family of Euler–Poincaré equations defined on the Virasoro–Bott group, by using the ...

Inverse problems in Euler–Bernoulli beam dynamics focus on determining unknown parameters or source distributions within the governing beam equation from external observations. This area spans the ...