The Qur'an refers to itself as Kitab, not as Mus'haf. Noting this, some scholars have argued that in the Qur'an's does not present itself as a "book", which implies it is finished and complete, so much as a "scripture", something written or communicated, which gives it more dynamism and life. The Qur'an speaks of itself as K-T-B, even before it was put into writing.
This use has led to a misconception: Some believe the Mushaf of Fatimah to mean the "Qur'an of Fatimah", thus accusing the Shi'a of believing in a special Qur'an.
bgcolor=#F0FFF0|Mushaf" refers to a collection of "Sahifa" which is singular for "page". The literal meaning of Mushaf is "The manuscript bound between two boards". In those days they used to write on leather and other materials. They either rolled the writings -- what is known as scroll in English. Or they kept the separable sheets and bound them together, in what could be called as "Mushaf", a book in today's terms. The equivalent to the word book "Kitab" used to (and still is) refer to either a letter (e.g. of correspondence) or to a document that was written down or recorded. The Arabic word for wrote "Kataba" is a derivative of the same word.
Although the Quran is commonly called a "Mushaf" today, perhaps referring to its "collection" after it was dispersed. Quran is a Mushaf (book), but any Mushaf (book) is not necessarily the Quran