This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held
at the INDAM headquarters in Rome on 5-9 September 2016. It brings together original contributions at the interface of Mathematics
and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics
of solids and gases, nematic shells, thin films, dry friction, delamination, damage, and phase-field dynamics. The papers
in the volume present novel results and identify possible future developments. The book is addressed to researchers involved
in Mathematics and its applications to Mechanics.