The Quran speaks of the writing down of the revelations, which were sent to the Jews, Christians and Muslims:
Those are they to whom We gave the Book, the Judgment, the Prophethood; so if these disbelieve in it, We have already entrusted it to a people who do not disbelieve in it. Those are they whom God has guided; so follow their guidance. Say: ‘I ask of you no wage for it; it is but a reminder unto all beings.’ They measured not God with His true measure when they said, ‘God has not sent down aught on any mortal.’ Say: ‘Who sent down the Book that Moses brought as a light and a guidance to men? You put it into parchments, revealing them, and hiding much; and you were taught that you knew not, you and your fathers.’ Say: ‘God.’ Then leave them alone, playing their game of plunging. This is a Book We have sent down, blessed and confirming that which was before it, and for thee to warn the Mother of Cities and those about her; and those who believe in the world to come believe in it, and watch over their prayers. S. 6:89-91 Arberry
They say, ‘Why does he not bring us a sign from his Lord?’ Has there not come to them the clear sign of what IS in the former scrolls (fee al-suhufi al-oola)? S. 20:133 Arberry
The unbelievers say, ‘This is naught but a calumny he has forged, and other folk have helped him to it.’ So they have committed wrong and falsehood. They say, ‘Fairy-tales of the ancients that he has had written down, so that they are recited to him at the dawn and in the evening.’ S. 25:4-6 Arberry
“Or has he not been told of what IS in the scrolls of Moses and Abraham (fee suhufi moosa wa’Ibraheema), he who paid his debt in full?,” S. 53:36-37 Arberry
Surely this IS IN the ancient scrolls (hatha lafee al-suhufi al-oola), the scrolls of Abraham and Moses (suhufi ibraheema wa’moosa). S. 87:18-19
This affirms that the revelations weren’t meant to just be communicated orally, but also to be written down on pages to be preserved as tangible, material books.
The Quran also refers to the Jews and Christians reading the same book:
The Jews say, ‘The Christians stand not on anything’; the Christians say, ‘The Jews stand not on anything’; yet they recite the Book. So too the ignorant say the like of them. God shall decide between them on the Day of Resurrection touching their differences. S. 2:113 Arberry
Again, this only makes sense in the context of their possessing a physical, tangible book which they shared in common.
Finally, the words which Moses received are said to have been written by God himself on multiple tablets:
Said He, ‘Moses, I have chosen thee above all men for My Messages and My Utterance; take what I have given thee, and be of the thankful.’ And We wrote for him on the Tablets of everything an admonition, and a distinguishing of everything: ‘So take it forcefully, and command thy people to take the fairest of it. I shall show you the habitation of the ungodly. S. 7:144-145 Arberry
And when Moses returned to his people, angry and sorrowful, he said, ‘Evilly have you done in my place, after me; what, have you outstripped your Lord’s commandment?’ And he cast down the Tablets, and laid hold of his brother’s head, dragging him to him. He said, ‘Son of my mother, surely the people have abased me, and well nigh slain me. Make not my enemies to gloat over me, and put me not among the people of the evildoers. S. 7:150 Arberry
And when Moses’ anger abated in him, he took the Tablets and in the inscription of them was guidance, and mercy unto all those who hold their Lord in awe. S. 7:154 Arberry
Could it be any clearer that the revelations, which were given to the Jews and Christians were meant to be inscripturated in order that subsequent generations could both access and read them?
FURTHER READING
The Quranic Witness to Biblical Authority [Part 3]
Answering Islam Blog 
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