  The success of helioseismology is due to its capability of measuring p-mode
oscillations in the Sun. This allows us to extract informations on the internal
structure and rotation of the Sun from the surface to the core. Similarly,
asteroseismology is the study of the internal structure of the stars as derived
from stellar oscillations. In this review we highlight the progress in the
observational asteroseismology, including some basic theoretical aspects. In
particular, we discuss our contributions to asteroseismology through the study
of chemically peculiar stars under the "Nainital-Cape Survey" project being
conducted at ARIES, Nainital since 1999. This survey aims to detect new
rapidly-pulsating Ap (roAp) stars in the northern hemisphere. We also discuss
the contribution of ARIES towards the asteroseismic study of the compact
pulsating variables. We comment on the future prospects of our project in the
light of the new optical 3.6-m telescope to be install at Devasthal (ARIES).
Finally, we present a preliminary optical design of the high-speed imaging
photometers for this telescope.
