What is the wisdom behind beginning prayer with the Takbir and ending it with the Taslim?

The prayer is initiated with the takbir (Allahu Akbar - God is Greatest) and concluded with the taslim (salutation of peace) for a profound wisdom. The takbir is the gateway into prayer, as "its prohibition [of worldly speech/actions] is the takbir," and it entails magnifying and glorifying Allah. As for the taslim, it is the gateway out of prayer, as "its permission [to resume worldly speech/actions] is the taslim," which includes Allah's Name "As-Salam" (The Source of Peace). Thus, the worshiper enters prayer with Allah's Name and departs from it with His Name. Their departure from Allah's presence is accompanied by a peace that protects them from afflictions, calamities, and tribulations until the next prayer.