Other sentence but in islamic section. This sentence has non sense. 

 During the time of the Ottoman Empire from the 15th century, the development of Islamic mathematics became stagnant. 

 Became stagnant because is impossible to define an "islamic mathematics" into Ottoman Empire. 
 Ottoman Empire lasted from XIV to XX century. In XIX century the Empire had steam boats, steel guns, gas lamps and Constantinople was a big cosmopolitan town as Paris, Wien, London, Moscow etc. I think after italian renaissance, is not easier to divide islamic mathematics from western mathematics into Ottoman Empire because the cultural intelectual relations was as today. Books printed in Venice during XV century, were read in Alessandria, Constantinople, Tunis ecc., in every part of mediterranean. As today in the globalize world is impossible divide chinese mathematics from western mathematics. Is a nonsense.  
 I would consider Ottoman Empire as European state, it was integred in "the game of European powers". You rebembered "the patiente of Europe". 

    

 Andriolo