Ulum al Qur'an
The Qur'an written during the Prophet's Lifetime
There is no doubt that the Qur'an was not only transmitted orally by many Muslims who had learned parts or the whole of it, but that it was also written down during the lifetime of the Prophet.
The well-known report about 'Umar's conversion shows that large passages of the revelation had already been written down even at a very early time, in Makka, long before the hijra, when the Prophet was still in the house of Arqam. 'Umar had set out to kill the Prophet Muhammad, when somebody informed him that Islam had already spread into his own family and pointed out to him that his brother-in-law, his nephew and his sister had all become Muslims. 'Umar went to the house of his sister and found her together with her husband and another Muslim. A dispute arose and 'Umar violently attacked both his brother-in-law and his own sister. 'When he did that they said to him "Yes, we are Muslims and we believe in God and His apostle and you can do what you like". When 'Umar saw the blood on his sister, he was sorry for what he had done and turned back and said to his sister, 'Give me this sheet which I heard you reading just now so that I may see just what it is which Muhammad has brought', for 'Umar could write. When he said that, his sister replied that she was afraid to trust him with it. 'Do not be afraid', he said and he swore by his gods that he would return it when he had read it. When he said that, she had hopes that he would become a Muslim and said to him, 'My brother, you are unclean in your polytheism and only the clean may touch it'. So 'Umar rose and washed himself and she gave him the page in which was Taha and when he had read the beginning he said 'How fine and noble is this speech ..." [Ibn Hisham, pp. 156-7.]