Final answer:
The most associated person with the integration of mathematics into the education system in the medieval period is Al-Khwarizmi. The correct answer is option (b).
Step-by-step explanation:
Medieval Contributions to Mathematics
The question of who ordered to make mathematics a subject of study in the education system in the medieval period is intriguing and relates to the broader context of historical advancements in mathematics during that era. None of the options provided, which include Euclid, Al-Khwarizmi, Leonardo Fibonacci, and Al-Kindi, are noted for formally mandating the study of mathematics within an educational system as such directives in medieval times were not typically documented in the manner we would expect today. However, these scholars each contributed significantly to the developments in mathematical thought which naturally influenced educational curricula of the period.
While Euclid and Fibonacci are mathematical heavyweights, the person most associated with integrating mathematics into education is Al-Khwarizmi, whose writings significantly advanced mathematical knowledge and were used as foundational texts. His Algebra treatise, The Compendious Book on Calculation by Completion and Balancing, laid out methods that formed the basis for algebra and played a key role in introducing the subject into the educational institutes. Al-Kindi also played a pivotal role by engaging in the translation and commentary of Greek mathematical works, which indirectly influenced the teaching and study of mathematics during the medieval Islamic period and beyond.
Thus, while the framing of the question assumes a direct order to make mathematics a study subject, it is the scholarly works of individuals like Al-Khwarizmi and Al-Kindi that had a lasting impact on mathematics curriculum during the medieval period. Through their writings and teachings, they laid the groundwork for mathematics to be recognized as an essential discipline within the education systems that emerged during the Renaissance and the Islamic Golden Age.