Every part of this is wrong. Mathematics in Greece and Babylon still used pictographic writing, or methods similar to Roman numerals. Until the introduction of the modern 10-based number system, which originated in India in the 600's and was popularized during expansion from Baghdad. In 1200, Europeans were still counting V's and X's while Muslims were just shy of inventing calculus.
The compass was not invented in China, and the origin of the sextant IS known. It was invented by Muslims in the 13th century. During the European Dark Ages, Islam was promoting learning, literacy, and invention. Medicine and science in the Middle East were HUNDREDS of years ahead of Europe. Islamic culture did not quash any knowledge that didn't square with their comfortable religion. That was the providence of our people. In modern times, they've learned to emulate our behavior. Ohh... good for us.
When Muslim conquerers came to Spain (not doubting the violence at all, but let's be honest and admit that no group of people is non-violent), they brought that learning with them. They brought advanced medicine and technology. Spain prospered during that time. Muslims and the Europeans living there co-existed in relative harmony. It was only when Europeans returned to power that the name of the game was torture and forced conversion.
I'd also like to point out the double standard in your post. It's a brutal jihad when Muslims conquer Christians, but it's totally cool when the opposite happens. Also, glad to know that you focus on the "swarthy" Middle Easterners. Racism is a totally acceptable position when talking about other cultures.
In short, you can't make up stories and pass them as fact. Learn actual history. You'll find that real life does not square with your notion that white, Christian, western Europeans were the universal good guys you imagine them to be. They were just as brutal and violent as everyone else, often moreso, and have spent a lot of history aggressively attacking knowledge and learning in order to maintain their own power. History is not full of good guys and bad guys. It's full of people, with equally legitimate cultures and ideals, often in conflict.