Islamic History and Cultural has five portions: Pre-Prophet Era, Prophet Muhammad (PBUH) era, Orthodox caliphate, Umayyad Caliphate, Abbasid Caliphate period, Ottoman Empire and culture aspects of different aspect. These topics could not cover by reading single book. You have to read many books. Some books I consulted for IHC for cce preparation and scored well more than 130. Names of books are being mentioned below:
- A short History of Islam- Mazhar Ul haq
- Spanish history - Mazhar Ul Haq
- A Short History of Arab- PK Hatti
- Moors in Spain-Poole
First two books cover 90 % syllabus of IHC. Only Ottoman Empire is not discussed in Mazhar's book. Otherwise, it is sufficient for preparation of IHC. You can get 60+ by consulting Mazhar's book. PK Hatti is good book for opinion making for portion from Pre-partition till modern world. For Spanish history, Moors in Spain is also used for references. You can reach on summit of IHC by consulting books that mentioned above.