Europe was very different in 1450. When Constantinople got reinforcements from Europe, they were seen as being like weird dysfunctional barbaric savages, not some sort of advanced Atlantean stormtroopers from the future. It was only after Constantinople fell that Europe went through the Renaissance or "Rebirth" where they recovered a lot of knowledge that they lost with the fall of the Western Roman Empire, largely fuelled by eastern scholars fleeing to the west with their libraries.
Nope.
Ironically, it was the muslim Arabs, during the Islamic Golden Age, who spread the vast knowledge of the Chinese, Persian, Indian, Greek, Roman etc etc and the vast additions to it or the inventions they made on their own(medicine, architecture, philosophy, aritchmetics, trigonometry, mathematics, engineering, arts, etc etc etc and a fucking lot of etcs more) into the West through the conquest of North Africa and, mainly, of my land, the Iberian Peninsula, and the intermingle between christians, muslims and jewish of all races and places with european scholars and translators that happened from 711 AD in the School of Translators in Toledo, 3hr by car from where I live. Those works would be translated, mainly from Arab, into Ladino(spanish hebrew), Mozárabe and, most importantly, Latin, which was the lingua of knowledge all over Europe, in the School of Translators of Toledo, and from there spread.
We could talk about how many 'Father of Modern Something' today were Arab muslims during the Islamic Golden Age, but just a drop of knowledge, you used hindu-arab numerals to write the only date in your post( 1450 ) on a base ten numeral system invented in China/India, which the arabs brought with them from there into the West. Which is arguably the biggest addition to mathematics.
Although the big big popular spread into Europe came from Italy, when Fibonacci brought with him those hindu-arab numerals and wrote the Liber Abbacus in 1200 AD and something, that new language of commerce and counting he discovered and studied during his commercial travels into current day Algeria, North Africa... the earliest depiction of arab numerals is in a Spanish Codex, the Codex Albeldensis or Vigilanum, which was compiled first in 881 AD by our scholars in...guess where...Toledo, and which resides at the El Escorial Library nowadays. And it predates Fibonacci's by 400 years. Also, there was a scholar who later went full Pope of Rome who also spread the hindu-arab numerals, as it was done then, between scholars and elites, which also predates Fibonacci
Here they are as they appear in the Codex Vigilanum, read from right to left as arab is written and read and marvel how EQUAL they are 1100 years later.
9 8 7 6 5 4 3 2 1 0
Sadly, the smart, refined, industrious and advanced arab bunch of yesterday isn't like the devolved grime of today, which by my account, the biggest additions they've made in the last centuries to the pool of human knowledge is the 27 Ways You Can Fuck A Goat In The Ass.