The aShTottara-nAmAvaLi of the Acharya has the nAmA soundarya-laharI-mukhya-bahu-stotravidhAyakAya namaH meaning: prostrations to the one who composed many stotras with soundaryalaharI as the prime one.
Of the BhAshyas that he wrote, brahma-sUtra-bhAshya towers supreme; of his expository works, viveka-chUDAmaNi is prime and of all his works of bhakti, the SoundaryalaharI tops the list.
SundarI, the beautiful, is Her name.
MahA-tripura-sundarI or just, tripura-sundarI , both derived from the root name, SundarI, is the
Goddess propitiated by the great mantra called Shri-vidyA.
Of the many names of ambaal, such as PArvatI, durgA, KALI, BAlA, BhuvaneshvarI, etc., it is the SundarI name that goes with RAja-rAjesvari, the Queenname of all the scriptures that talk of and dwell on the Mother Goddess.