Nicolle, David Acre 1291 (Osprey Campaign 154) Osprey, 2005.
"The history of the crusades, Volume 3", pp 70–89 (Google Books, full view), by Joseph Fr. Michaud, William Robson. Note that in this account Acre is referred to as "Ptolemaïs", Sultan Qalawun as "Kalouan" and Khalil as "Chalil" and throughout the work Muslims are referred to as "Mussulmans". Several contemporary manuscripts, such as the chronicles of Ibn Ferat, are referenced and appendices give some translations.
"The Crusades" by Edward Gibbon (1963), pp 76–78, provides a useful short summary of the events of the siege including an overview of the situation in Acre at the time.
