  $p$-Adic mathematical physics is a branch of modern mathematical physics
based on the application of $p$-adic mathematical methods in modeling physical
and related phenomena. It emerged in 1987 as a result of efforts to find a
non-Archimedean approach to the spacetime and string dynamics at the Planck
scale, but then was extended to many other areas including biology. This paper
contains a brief review of main achievements in some selected topics of
$p$-adic mathematical physics and its applications, especially in the last
decade. Attention is mainly paid to developments with promising future
prospects.
