How can one convince an atheist of the existence of Allah, the prophethood of Muhammad (peace be upon him), the Day of Judgment, and the scientific miraculousness of the Quran, and what books can be used for this purpose?

Calling to Allah is one of the Muslim’s noblest functions in this world. Allah has praised those who call to Him, saying: "And who is better in speech than one who invites to Allah and does righteousness and says, 'Indeed, I am of the Muslims.'" Da‘wah (calling to Islam) has foundations that must be observed. One can benefit from previous fatwas regarding the proofs of the Creator's existence and the truthfulness of Muhammad's prophethood, peace and blessings be upon him, as well as from the book "Islam Challenges" by Wahiduddin Khan, and from the works of Abdul Majeed al-Zindani and Zaghloul El-Naggar.