In this article an attempt is made to open up and make the analysis of the creative work of one of the outstanding scholar-mathematician in the Ottoman Empire at the end of the 18th – beginning of the 19th centuries whose origin was from the Crimean Khanate – Hussein Ryfky Tamani ibn Muhammad ibn Kyrym Ghazi. At the beginning of the 19th century, during 11 years, the scholar was a leader (bashkhoja) of the Ground forces military-engineering school (Muhendishane-i berry-i Humayun) in Istanbul. The article provides a review of translations made by Hussein Ryfky into the Ottoman language of European scientists’ works, as well as of his own research works on Geometry, Engineering and Military science, Astronomy, Geography, and other disciplines. The author also presents the textbooks having for centuries become the basic textbooks in the Ottoman Empire for learning exact sciences in the military educational institutions. The author provides the analysis of the pedagogical and public activity of the scientist during the period of reforms Nizam-i-Jedid, as well as the short description of his activities during the student years. Hussein Ryfky Tamani made a synthesis of Western and Ottoman approaches to the science. His works became the corner-stone in the foundation of Ottoman Mathematical science at the beginning of the 19th century.