Verse 1

अयि गिरिनन्दिनि नन्दितमेदिनि विश्वविनोदिनि नन्दिनुते गिरिवरविन्ध्यशिरोऽधिनिवासिनि विष्णुविलासिनि जिष्णुनुते । भगवति हे शितिकण्ठकुटुम्बिनि भूरिकुटुम्बिनि भूरिकृते जय जय हे महिषासुरमर्दिनि रम्यकपर्दिनि शैलसुते ॥ १ ॥

ayi girinandini nanditamedini viśvavinodini nandinute girivaravindhyaśiro’dhinivāsini viṣṇuvilāsini jiṣṇunute | bhagavati he śitikaṇṭhakuṭumbini bhūrikuṭumbini bhūrikṛte jaya jaya he mahiṣāsuramardini ramyakapardini śailasute || 1 ||

Translation

O daughter of the mountain, delighting the earth, delighting the universe, praised by Nandi, residing atop the excellent Vindhya mountain, sporting with Vishnu, praised by the victorious, O Goddess, O consort of the blue-throated one, with abundant family, doer of abundant deeds, victory, victory to you, O slayer of Mahishasura, O beautiful one with matted hair, O daughter of the mountain.

Word by word

ayi
O
giri
mountain
nandinī
delighting [nanda + inī = nandinī, consonant sandhi]
nandita
delighted
medinī
earth
viśva
universe
vinodinī
delighting [vi + nodinī = vinodinī, vowel sandhi]
nandi
Nandi
nute
praised
vara
excellent
vindhya
Vindhya
śiraḥ
head
adhi
above
nivāsinī
residing
viṣṇu
Vishnu
vilāsinī
sporting
jiṣṇu
victorious
bhagavati
O Goddess
he
O
śiti
blue
kaṇṭha
throated
kuṭumbinī
having family
bhūri
abundant
kṛte
doer
jaya
victory
mahiṣāsura
buffalo demon
mardinī
slayer
ramya
beautiful
kapardinī
with matted hair
śaila
mountain
sute
daughter

Meaning

The verse praises Durga as the mountain’s daughter, delighting the world, residing in the Vindhya mountains, associated with Vishnu and Śiva, and celebrated for her divine acts, invoking her victory over Mahishasura.