In plain words
To the very land of Bhārata they gave this name of Sarasvatī. You think that Bharata merely means the name of Rāma's younger brother, Bharata, and that this very name was given to the kingdom, don't you? That is a great mistake. It is nobody's name. It is God's own name. When they give someone a name, that name must belong to someone, mustn't it? But this is not a name given to anyone. How so?
Sarasvatī, salutations to you, giver of boons, who take whatever form you wish; I shall begin my studies: may there always be success for me. Wide-eyed like the petal of the lotus, of the hue of the lotus filament, ever dwelling in the lotus, O Goddess: may that Sarasvatī protect me. Bhagavatī, Bhāratī, whose face is the full moon's orb.
Gaṇapati, with Siddhi and Buddhi
Bhāratī is the very name of this Sarasvatī. That is, Bhāratī is the very name of the fully complete form. Whoever wants to sing needs śruti, rāga and tāla. Bhāratī. Bhā does not mean only what is filled with fortune. It is what is filled with bhāva. Ra means that bhāva joined in rāga. It is because it is filled with bhāva, rāga and tāla that they gave the name Bhārata. So today, whenever anyone at all wants to sing songs, hold a concert or begin a piece of music, first of all they pray to Gaṇapati. ‘I worship Vātāpi Gaṇapati’: those who first of all worship Vātāpi Gaṇapati grow in every power. Gaṇapati is not merely for one kind of work, for rites and for auspicious things alone. Gaṇapati alone is the lord of both, the auspicious and the inauspicious. Even when inauspicious things happen, it is only auspicious for Him. When auspicious things happen too, it is only auspicious for Him. The one who gives auspiciousness to all is Gaṇapati. The one who gives all aiśvaryas is Gaṇapati. The one who brings forth Buddhi and Vijñāna is Gaṇapati. The one who increases intelligence is Gaṇapati. That is why, if you ask how students must first of all be: