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Scientific and Intellectual Flourishing in Islamic Central Asia
Observatory at Samarkand:
- Ulugh Beg, whose secondary focus was astronomy, constructed a prominent observatory in Samarkand.
- He actively participated in compiling observational tables that were later translated into Latin and utilized by European astronomers.
Mathematical Advances of Ghiyas al-Din Jamshid al-Kashi:
- Mathematician Ghiyas al-Din Jamshid al-Kashi observed that Chinese astronomers used of a day as a standard unit for calculating the occurrence of a new moon.
- This practice inspired al-Kashi to employ decimal notation, allowing quantities less than to be represented with place markers.
- He calculated a value for pi () that was significantly more precise than any previously calculated value.
- His mathematical work reached Europe via Constantinople through a -century Greek translation.
Regional Responses and State Transformation in Western Eurasia
Economic Dualism under Mongol Rule:
- Reliable overland trade routes benefited major Mongol ruling centers and Silk Road commercial hubs.
- The countryside suffered severe destruction from conquest, sporadic violence, and heavy tax assessments.
- As Mongol political central power waned, regional forces across Russia, Eastern Europe, and Anatolia reasserted independence, alternating between collaboration and resistance.
The Golden Horde and the Russian Lands:
- Founded after Chinggis Khan's grandson Batu defeated a joint Russian and Kipchak (Turkic) army in .
- Initially unified, the Golden Horde later broke into smaller khanates, including the White Horde in southeastern Russia (ruled into the century) and the Crimean Khanate on the Black Sea (conquered by Russia in ).
- Maintained control from its capital, Old Sarai, located north of where the Volga River empties into the Caspian Sea.
- Granted exemptions and privileges to the Orthodox Church, utilizing the clergy to reconcile the populace to Mongol oversight.
- Revived Old Church Slavonic as an ecclesiastical language while Russian became the dominant written tongue, intentionally avoiding Byzantine Greek.
- Enlisted Russian princes to serve as primary census takers and tax collectors.
- Severe outflow of gold and silver to Mongol treasuries caused a local precious metal shortage. The Golden Horde attempted to issue unsecured paper money; this failed experiment left the word denga (derived from the Mongolian word tamga, meaning stamp) in the Russian language for money, while local commerce reverted to direct barter.
- Prince Alexander Nevskii of Novgorod (r. ) submitted to the Mongols in , receiving recognition as the premier leader of the Russian princes. The Mongols favored both Novgorod and Moscow (ruled by Alexander's son Daniel).
- As Moscow and Novgorod eclipsed Kiev, populations migrated northward to open new agricultural lands distant from the Mongol steppes.
Historiography of the "Mongol Yoke":
- Some historians emphasize Mongol devastation and tax brutality, noting that Ukraine suffered massive population losses between and , isolating Russia from Western developments.
- Alternative historical perspectives note Kiev's economic decline prior to the Mongol invasions and point to regular silver tax payments as proof of economic surpluses. Heavy tax burdens often resulted from local Russian princes exempting their own lands and shifting tax loads onto peasants.
- Traditional local government structures and rivalry among Russian princely families persisted under Mongol overlordship.
- Prince Ivan III of Moscow (r. ) established autocratic rule in the late and adopted the title tsar (derived from caesar), previously applied only to foreign rulers such as Byzantine emperors or steppe khans, asserting legitimate rule as the Golden Horde and Byzantine Empire collapsed.

Eastern Europe and the Baltic Region:
- Holy Roman Emperor Frederick II (r. ) maintained an appreciation for Muslim culture and negotiated a treaty with the Mamluk sultan in Egypt to nominally regain Jerusalem. Disagreements with the papacy left Hungary, Poland, and Lithuania to face Mongol incursions independently.
- The Teutonic Knights, a German Christian military order organized in the Holy Land, attempted to Christianize northern Europe and colonize territories with German settlers. Alexander Nevskii allied with the Mongols to defeat the Teutonic Knights and their Finnish allies in at the Battle of the Ice, where many knights drowned on a frozen lake, effectively ending the Northern Crusades.
- European understanding of the Mongols evolved from apocalyptic myths to accurate intelligence gathered by embassies. Europeans adopted diplomatic passports, coal mining, movable type, high-temperature metallurgy, higher mathematics, gunpowder, and cast bronze cannon.
- Lithuania escaped Mongol domination, centralized its military, collaborated with the Mongols, dominated Poland, and checked the power of the Teutonic Knights in the late .
Southeastern Europe and the Ottoman Empire:
- In the Balkans, King Stephen Dushan of Serbia (r. ca. ) took power in , declared an independent Serbian patriarch, and was crowned in as "tsar and autocrat of the Serbs, Greeks, Bulgarians, and Albanians." The kingdom declined after his death and fell following the Battle of Kosovo in .
- Turkic nomads established the Ottoman Empire under Osman in northwestern Anatolia around near the Sea of Marmara, attracting Muslim religious warriors (ghazis).
- Despite a temporary defeat by Timur in , Sultan Mehmet II captured Constantinople in , ending the Byzantine Empire.
Mongol Domination in China: The Yuan Empire ()
- Establishment and Governance:
- Following the conquest of northern China in the , Great Khan Ögödei considered converting the North China Plain into livestock pasture. A Confucian adviser persuaded him instead to implement tax-farming.
- Khubilai Khan founded the Yuan Empire in , synthesizing Mongol and Chinese imperial traditions. He gave his eldest son a Chinese name, provided him with a Confucian education, and incorporated Confucian rituals into public law.
- Tibetan Buddhist priests (lamas) became influential among the Mongol ruling elite