I re-read White this morning and see that my memory is at fault. My comment is over-simplified. The Persians followed by the Arabs had modified combat because of the stirrup before the Europeans. The real social and technological revolution came with Charles Martel even if the stirrup had been found in Lithuanian and Prussian burial sites in an earlier period. The presence of an artifact does not necessarily imply its general diffusion and a paradigm shift.
And algebra and trig and Euclid's Geometry and Aristotle, and Plato and Public Libraries and medicine and spices and dyes and chemistry and Public Health and astronomy and scientific instruments.
Aside from that, what have the Muslim's contributed to Western Civilization? A doo run-run-run, a doo run-run