Praise be to Allaah;
You have answered your own question, as it were, because it is Allaah who gave His Book this name, "Qur’aan."
Allaah says (interpretation of the meaning):
"The month of Ramadan in which was revealed the Qur’aan . . ." [al-Baqarah 2:185] "Do they not then consider the Qur’aan carefully . . .?" [al-Nisaa’ 4:82] "So, when the Qur’aan is recited, listen to it, and be silent that you may receive mercy . . ." [al-A ‘raaf 7:204] "Verily, Allaah has purchased of the believers their lives and their properties; for the price that their shall be Paradise. They fight in Allaah’s Cause, so they kill (others) and are killed. It is a promise in truth which is binding on Him in the Tawraat (Torah) and the Injeel (Gospel) and the Qur’aan . . ." [al-Tawbah 9:111] "And this Qur’aan is not such as could ever be produced by other than Alaah, but it is a confirmation of (the revelation) which was before it, and a full explanation of the Book wherein there is no doubt from the Lord of the ‘Aalameen (mankind, jinn and all that exists)" [Yunus 10:37] "Verily, We have sent it down as an Arabic Qur’aan in order that you might understand" [Yusuf 12:2] "We relate unto you [Muhammad] the best of stories through Our Revelations unto you, of this Qur’aan. And before this, you were among those who knew nothing about it (the Qur’aan)." [Yusuf 12:3] "And indeed, We have bestowed upon you seven of al-Mathaani (the seven repeatedly recited verses, i.e. Soorat al-Faatihah) and the Grand Qur’aan." [al-Hijr 15:87] "So when you want to recite the Qur’aan, seek refuge with Allaah from Shaytaan, the outcast (the cursed one)." [al-Nahl 16:98] "Verily, this Qur’aan guides to that which is most just . . ." [al-Israa’ 17:9] "And We send down from the Qur’aan that which is a healing and a mercy to those who believe, and it increases the zaalimoon (wrongdoers) nothing but loss." [al-Israa’ 17:82] "Say: ‘If mankind and the jinns were together to produce the like of this Qur’aan, they could not produce the like thereof, even if they helped one another.’" [al-Israa’ 17:88] "And (it is) a Qur’aan which We have divided )into parts), in order that you might recite it to men at intervals. And We have revealed it by stages." [al-Israa’ 17:106] "We have not sent down the Qur’aan unto you [O Muhammad] to cause you distress" [Ta-Ha 20:2] "Then High above all be Allaah, the True King. And be not in haste (O Muhammad) with the Qur’aan before its revelation is completed to you, and say: ‘My Lord! Increase me in knowledge.’" [Ta-Ha 20:114] "Ta-Seen [These letters are one of the miracles of the Qur’aan, and none but Allaah (Alone) knows their meanings]. These are the Verses of the Qur’aan, and (it is) a Book (that makes things) clear" [al-Naml 27:1] "And verily, you (O Muhammad) are receiving the Qur’aan from the One, All-Wise, All-Knowing." [al-Naml 27:6] "Verily, He Who has given you (O Muhammad) the Qur’aan will surely bring you back to the Ma’aad (place of return, either to Makkah or to Pradise after your death) . . ." [al-Qasas 28:85] "By the Qur’aan, full of wisdom" [Yaa-Seen 36:2] "And indeed, We have made the Qur’aan easy to understand and remember, then is there any that will remember (or receive admonition)?" [al-Qamar 54:40] "That (this) is indeed an honourable recital (the Noble Qur’aan)." [al-Waaqi’ah 56:77] "Had We sent down this Qur’aan on a mountain, you would surely have seen it humbling itself and rending asunder by the fear of Allah . . ." [al-Hashr 59:21] "or a little more; and recite the Qur’aan (aloud) in a slow, (pleasant tone and) style." [al-Muzzammil 73:4] "Nay! This is a Glorious Qur’aan" [al-Burooj 85:21]
Can there be any doubt after reading all these aayaat that it is Allaah - and not Abu Bakr (may Allaah be pleased with him) or anyone else - Who has given the name "Qur’aan" to the Book which He revealed to Muhammad (peace and blessings of Allaah be upon him)?
In Arabic, the word "Qur’an" comes from the word meaning al-qar’, which means "gathering" and "putting things together." It is so called because it is a collection of all the siwar (plural of surah). It was also suggested that it is so called because it combines the fruits of the previously-revealed books, or because it combines all kinds of knowledge.
(See al-Itqaan by al-Suyooti, 1/162-163).
Finally, we advise you to check what you read so that you do not get confused by unreliable sources in books and magazines that may cause you to doubt the truth. May Allaah bless you and us with beneficial knowledge and help us to perform righteous deeds.