(1170 – 1250)
As Europe dawdled from Dark to the Middle Ages, Asia produced the best math centers, the most advanced syllabuses, and the greatest mathematicians in the world. Leonardo Pisano Bigollo (popularly known as Fibonacci) was the most promising European mathematician of the Middle Ages. In order to make-up for Europe’s deficiencies, he imported several publications from Arabia. The fact that his father was a wealthy merchant with interests in North Africa and the Arabian Peninsula helped him. It was through Abu-Kamil Shuja’s works that Fibonacci became acquainted with the more advanced Asian syllabuses, on which he based the treatises he later published and circulated in Europe. (Those imported publications were mostly Chinese and Indian-based texts which scholars like Muhammad Al-Khwarizmi had translated, updated, and preserved). Thus, Fibonacci played a leading role in acquainting Europe with the more advanced Asian mathematics that included the decimal system, the lattice multiplication methods, and the Indo-Arabic numerals which he favored over the Roman ones: due to their ease of use. He also revived the Greco-Egyptian methodologies: as embodied in the works of Euclid and Diophantus. Apart from updating Europe with better publications, Fibonacci used what he learned to author new books. Most famous among these were the Liber Abaci and the Liber Quadratorum. He also worked on theorems, defined their arithmetic congrua, and succeeded in solving many problems. His contributions were among the precursors of scientific offshoot of the Renaissance. As a result, many concepts and items: including the 6765 Fibonacci asteroid, were named after him.