This article expounds the essential aspects of Arab mathematical activities in Al-Andalus and the Maghreb from the mid-eighth to late fifteenth centuries. These activities included both «erudite practices» (geometry, calculus, algebra, number theory) and their practical applications (in astronomy, problems related with transactions, the science of inheritance, and the practices of measurement and surveying). At the same time, the article deals with the topic of the knowledge sharing which took place between the scientific circles in these two regions: the movement by men of the sciences and the circulation of knowledge produced in each of the two regions. The study ends with a brief description of the role played by the Maghreb region in spreading a part of the Moorish mathematical work produced towards the Middle East and Sub-Saharan Africa.
Al-Andalus, Maghreb, mathematics, knowledge circulation and sharing.