List of inventions in the medieval Islamic world
A number of inventions were made in the medieval Islamic world, a geopolitical region that has at various times extended from Spain and Africa in the west to Afghanistan and the Indian subcontinent in the east. The inventions listed here were developed during the medieval Islamic world, which covers a period from the early Caliphate to the later Ottoman, Safavid and Mughal empires. In particular, the majority of inventions here date back to the Islamic Golden Age, which is traditionally dated from the 8th to the 13th centuries. During this period, artists, engineers, scholars, poets, philosophers, geographers and traders in the Islamic world contributed to agriculture, the arts, economics, industry, islamic law, literature, navigation, philosophy, sciences, sociology, and technology, both by preserving earlier Greco-Roman philosophy, inventions and discoveries, then by adding inventions and innovations of their own.
Mathematics
Cryptanalysis and frequency analysis: In cryptology, the first known recorded explanation of cryptanalysis was given by 9th-century Arabian polymath, Al-Kindi (also known as "Alkindus" in Europe), in A Manuscript on Deciphering Cryptographic Messages. This treatise includes the first description of the method of frequency analysis.