The Song government confiscated portions of land owned by the landed gentry in order to raise revenue for these projects, an act which caused dissension and loss of loyalty amongst leading members of Song society but did not stop the Song's defensive preparations. Financial matters were made worse by the fact that many wealthy, land-owning families—some of which had officials working for the government—used their social connections with those in office in order to obtain tax-exempt status.

Although the Song dynasty was able to hold back the Jin, a new foe came to power over the steppe, deserts, and plains north of the Jin dynasty. The Mongols, led by Genghis Khan (r. 1206–1227), initially invaded the Jin dynasty in 1205 and 1209, engaging in large raids across its borders, and in 1211 an enormous Mongol army was assembled to invade the Jin. The Jin dynasty was forced to submit and pay tribute to the Mongols as vassals; when the Jin suddenly moved their capital city from Beijing to Kaifeng, the Mongols saw this as a revolt. Under the leadership of Ögedei Khan (r.1229–1241), both the Jin dynasty and Western Xia dynasty were conquered by Mongol forces in 1233/34.

The Mongols were allied with the Song, but this alliance was broken when the Song recaptured the former imperial capitals of Kaifeng, Luoyang, and Chang'an at the collapse of the Jin dynasty. After the first Mongol invasion of Vietnam in 1258, Mongol general Uriyangkhadai attacked Guangxi from Hanoi as part of a coordinated Mongol attack in 1259 with armies attacking in Sichuan under Mongol leader Möngke Khan and other Mongol armies attacking in modern-day Shandong and Henan. On August 11, 1259, Möngke Khan died during the siege of Diaoyu Castle in Chongqing.

His successor Kublai Khan continued the assault against the Song, gaining a temporary foothold on the southern banks of the Yangtze. By the winter of 1259, Uriyangkhadai's army fought its way north to meet Kublai's army, which was besieging Ezhou in Hubei. Kublai made preparations to take Ezhou, but a pending civil war with his brother Ariq Böke—a rival claimant to the Mongol Khaganate—forced Kublai to move back north with the bulk of his forces. In Kublai's absence, the Song forces were ordered by Chancellor Jia Sidao to make an immediate assault and succeeded in pushing the Mongol forces back to the northern banks of the Yangtze. There were minor border skirmishes until 1265, when Kublai won a significant battle in Sichuan.

From 1268 to 1273, Kublai blockaded the Yangtze River with his navy and besieged Xiangyang, the last obstacle in his way to invading the rich Yangtze River basin. Kublai officially declared the creation of the Yuan dynasty in 1271. In 1275, a Song force of 130,000 troops under Chancellor Jia Sidao was defeated by Kublai's newly appointed commander-in-chief, general Bayan. By 1276, most of the Song territory had been captured by Yuan forces, including the capital Lin'an.

In the Battle of Yamen on the Pearl River Delta in 1279, the Yuan army, led by the general Zhang Hongfan, finally crushed the Song resistance. The last remaining ruler, the 13-year-old emperor Zhao Bing, committed suicide, along with Prime Minister Lu Xiufu and 1300 members of the royal clan. On Kublai's orders, carried out by his commander Bayan, the rest of the former imperial family of Song were unharmed; the deposed Emperor Gong was demoted, being given the title 'Duke of Ying', but was eventually exiled to Tibet where he took up a monastic life. The former emperor would eventually be forced to commit suicide under the orders of Kublai's great-great-grandson, Gegeen Khan, out of fear that Emperor Gong would stage a coup to restore his reign. Other members of the Song imperial family continued to live in the Yuan dynasty, including Zhao Mengfu and Zhao Yong.

The Song dynasty was an era of administrative sophistication and complex social organization. Some of the largest cities in the world were found in China during this period (Kaifeng and Hangzhou had populations of over a million). People enjoyed various social clubs and entertainment in the cities, and there were many schools and temples to provide the people with education and religious services. The Song government supported social welfare programs including the establishment of retirement homes, public clinics, and paupers' graveyards. The Song dynasty supported a widespread postal service that was modeled on the earlier Han dynasty (202 BCE – CE 220) postal system to provide swift communication throughout the empire. The central government employed thousands of postal workers of various ranks to provide service for post offices and larger postal stations. In rural areas, farming peasants either owned their own plots of land, paid rents as tenant farmers, or were serfs on large estates.

Although women were on a lower social tier than men according to Confucian ethics, they enjoyed many social and legal privileges and wielded considerable power at home and in their own small businesses. As Song society became more and more prosperous and parents on the bride's side of the family provided larger dowries for her marriage, women naturally gained many new legal rights in ownership of property. Under certain circumstances, an unmarried daughter without brothers, or a surviving mother without sons, could inherit one-half of her father's share of undivided family property. There were many notable and well-educated women, and it was a common practice for women to educate their sons during their earliest youth. The mother of the scientist, general, diplomat, and statesman Shen Kuo taught him essentials of military strategy. There were also exceptional women writers and poets, such as Li Qingzhao (1084–1151), who became famous even in her lifetime.

Religion in China during this period had a great effect on people's lives, beliefs, and daily activities, and Chinese literature on spirituality was popular. The major deities of Daoism and Buddhism, ancestral spirits, and the many deities of Chinese folk religion were worshipped with sacrificial offerings. Tansen Sen asserts that more Buddhist monks from India traveled to China during the Song than in the previous Tang dynasty (618–907). With many ethnic foreigners travelling to China to conduct trade or live permanently, there came many foreign religions; religious minorities in China included Middle Eastern Muslims, the Kaifeng Jews, and Persian Manichaeans.

The populace engaged in a vibrant social and domestic life, enjoying such public festivals as the Lantern Festival and the Qingming Festival. There were entertainment quarters in the cities providing a constant array of amusements. There were puppeteers, acrobats, theatre actors, sword swallowers, snake charmers, storytellers, singers and musicians, prostitutes, and places to relax, including tea houses, restaurants, and organized banquets. People attended social clubs in large numbers; there were tea clubs, exotic food clubs, antiquarian and art collectors' clubs, horse-loving clubs, poetry clubs, and music clubs. Like regional cooking and cuisines in the Song, the era was known for its regional varieties of performing arts styles as well. Theatrical drama was very popular amongst the elite and general populace, although Classical Chinese—not the vernacular language—was spoken by actors on stage. The four largest drama theatres in Kaifeng could hold audiences of several thousand each. There were also notable domestic pastimes, as people at home enjoyed activities such as the go and xiangqi board games.

During this period greater emphasis was laid upon the civil service system of recruiting officials; this was based upon degrees acquired through competitive examinations, in an effort to select the most capable individuals for governance. Selecting men for office through proven merit was an ancient idea in China. The civil service system became institutionalized on a small scale during the Sui and Tang dynasties, but by the Song period, it became virtually the only means for drafting officials into the government. The advent of widespread printing helped to widely circulate Confucian teachings and to educate more and more eligible candidates for the exams. This can be seen in the number of exam takers for the low-level prefectural exams rising from 30,000 annual candidates in the early 11th century to 400,000 candidates by the late 13th century. The civil service and examination system allowed for greater meritocracy, social mobility, and equality in competition for those wishing to attain an official seat in government. Using statistics gathered by the Song state, Edward A. Kracke, Sudō Yoshiyuki, and Ho Ping-ti supported the hypothesis that simply having a father, grandfather, or great-grandfather who had served as an official of state did not guarantee one would obtain the same level of authority. Robert Hartwell and Robert P. Hymes criticized this model, stating that it places too much emphasis on the role of the nuclear family and considers only three paternal ascendants of exam candidates while ignoring the demographic reality of Song China, the significant proportion of males in each generation that had no surviving sons, and the role of the extended family. Many felt disenfranchised by what they saw as a bureaucratic system that favored the land-holding class able to afford the best education. One of the greatest literary critics of this was the official and famous poet Su Shi. Yet Su was a product of his times, as the identity, habits, and attitudes of the scholar-official had become less aristocratic and more bureaucratic with the transition of the periods from Tang to Song. At the beginning of the dynasty, government posts were disproportionately held by two elite social groups: a founding elite who had ties with the founding emperor and a semi-hereditary professional elite who used long-held clan status, family connections, and marriage alliances to secure appointments. By the late 11th century, the founding elite became obsolete, while political partisanship and factionalism at court undermined the marriage strategies of the professional elite, which dissolved as a distinguishable social group and was replaced by a multitude of gentry families.

Due to Song's enormous population growth and the body of its appointed scholar-officials being accepted in limited numbers (about 20,000 active officials during the Song period), the larger scholarly gentry class would now take over grassroots affairs on the vast local level. Excluding the scholar-officials in office, this elite social class consisted of exam candidates, examination degree-holders not yet assigned to an official post, local tutors, and retired officials. These learned men, degree-holders, and local elites supervised local affairs and sponsored necessary facilities of local communities; any local magistrate appointed to his office by the government relied upon the cooperation of the few or many local gentry in the area. For example, the Song government—excluding the educational-reformist government under Emperor Huizong—spared little amount of state revenue to maintain prefectural and county schools; instead, the bulk of the funds for schools was drawn from private financing. This limited role of government officials was a departure from the earlier Tang dynasty (618–907), when the government strictly regulated commercial markets and local affairs; now the government withdrew heavily from regulating commerce and relied upon a mass of local gentry to perform necessary duties in their communities.

The gentry distinguished themselves in society through their intellectual and antiquarian pursuits, while the homes of prominent landholders attracted a variety of courtiers, including artisans, artists, educational tutors, and entertainers. Despite the disdain for trade, commerce, and the merchant class exhibited by the highly cultured and elite exam-drafted scholar-officials, commercialism played a prominent role in Song culture and society. A scholar-official would be frowned upon by his peers if he pursued means of profiteering outside of his official salary; however, this did not stop many scholar-officials from managing business relations through the use of intermediary agents.

Law, justice, and forensic science

Main article: Society of the Song dynasty

The Song judicial system retained most of the legal code of the earlier Tang dynasty, the basis of traditional Chinese law up until the modern era. Roving sheriffs maintained law and order in the municipal jurisdictions and occasionally ventured into the countryside. Official magistrates overseeing court cases were not only expected to be well-versed in written law but also to promote morality in society. Magistrates such as the famed Bao Zheng (999–1062) embodied the upright, moral judge who upheld justice and never failed to live up to his principles. Song judges specified the guilty person or party in a criminal act and meted out punishments accordingly, often in the form of caning. A guilty individual or parties brought to court for a criminal or civil offense were not viewed as wholly innocent until proven otherwise, while even accusers were viewed with a high level of suspicion by the judge. Due to costly court expenses and immediate jailing of those accused of criminal offenses, people in the Song preferred to settle disputes and quarrels privately, without the court's interference.

Shen Kuo's Dream Pool Essays argued against traditional Chinese beliefs in anatomy (such as his argument for two throat valves instead of three); this perhaps spurred the interest in the performance of post-mortem autopsies in China during the 12th century. The physician and judge known as Song Ci (1186–1249) wrote a pioneering work of forensic science on the examination of corpses in order to determine cause of death (strangulation, poisoning, drowning, blows, etc.) and to prove whether death resulted from murder, suicide, or accidental death. Song Ci stressed the importance of proper coroner's conduct during autopsies and the accurate recording of the inquest of each autopsy by official clerks.

Military and methods of warfare

Main article: Military history of the Song dynasty

The Song military was chiefly organized to ensure that the army could not threaten Imperial control, often at the expense of effectiveness in war. Northern Song's Military Council operated under a Chancellor, who had no control over the imperial army. The imperial army was divided among three marshals, each independently responsible to the Emperor. Since the Emperor rarely led campaigns personally, Song forces lacked unity of command. The imperial court often believed that successful generals endangered royal authority, and relieved or even executed them (notably Li Gang, Yue Fei, and Han Shizhong).

Although the scholar-officials viewed military soldiers as lower members in the hierarchic social order, a person could gain status and prestige in society by becoming a high-ranking military officer with a record of victorious battles. At its height, the Song military had one million soldiers divided into platoons of 50 troops, companies made of two platoons, battalions composed of 500 soldiers. Crossbowmen were separated from the regular infantry and placed in their own units as they were prized combatants, providing effective missile fire against cavalry charges. The government was eager to sponsor new crossbow designs that could shoot at longer ranges, while crossbowmen were also valuable when employed as long-range snipers. Song cavalry employed a slew of different weapons, including halberds, swords, bows, spears, and 'fire lances' that discharged a gunpowder blast of flame and shrapnel.

Military strategy and military training were treated as sciences that could be studied and perfected; soldiers were tested in their skills of using weaponry and in their athletic ability. The troops were trained to follow signal standards to advance at the waving of banners and to halt at the sound of bells and drums.

The Song navy was of great importance during the consolidation of the empire in the 10th century; during the war against the Southern Tang state, the Song navy employed tactics such as defending large floating pontoon bridges across the Yangtze River in order to secure movements of troops and supplies. There were large ships in the Song navy that could carry 1,000 soldiers aboard their decks, while the swift-moving paddle-wheel craft were viewed as essential fighting ships in any successful naval battle.

In a battle on January 23, 971, massive arrow fire from Song dynasty crossbowmen decimated the war elephant corps of the Southern Han army. This defeat not only marked the eventual submission of the Southern Han to the Song dynasty, but also the last instance where a war elephant corps was employed as a regular division within a Chinese army.

There was a total of 347 military treatises written during the Song period, as listed by the history text of the Song Shi (compiled in 1345). However, only a handful of these military treatises have survived, which includes the Wujing Zongyao written in 1044. It was the first known book to have listed formulas for gunpowder; it gave appropriate formulas for use in several different kinds of gunpowder bombs. It also provided detailed descriptions and illustrations of double-piston pump flamethrowers, as well as instructions for the maintenance and repair of the components and equipment used in the device.

Arts, literature, philosophy, and religion

Further information: Religion in the Song dynasty

The visual arts during the Song dynasty were heightened by new developments such as advances in landscape and portrait painting. The gentry elite engaged in the arts as accepted pastimes of the cultured scholar-official, including painting, composing poetry, and writing calligraphy. The poet and statesman Su Shi and his associate Mi Fu (1051–1107) enjoyed antiquarian affairs, often borrowing or buying art pieces to study and copy. Poetry and literature profited from the rising popularity and development of the ci poetry form. Enormous encyclopedic volumes were compiled, such as works of historiography and dozens of treatises on technical subjects. This included the universal history text of the Zizhi Tongjian, compiled into 1000 volumes of 9.4 million written Chinese characters. The genre of Chinese travel literature also became popular with the writings of the geographer Fan Chengda (1126–1193) and Su Shi, the latter of whom wrote the 'daytrip essay' known as Record of Stone Bell Mountain that used persuasive writing to argue for a philosophical point. Although an early form of the local geographic gazetteer existed in China since the 1st century, the matured form known as "treatise on a place", or fangzhi, replaced the old "map guide", or transl. zho – transl. tujing, during the Song dynasty.

The imperial courts of the emperor's palace were filled with his entourage of court painters, calligraphers, poets, and storytellers. Emperor Huizong was the eighth emperor of the Song dynasty and he was a renowned artist as well as a patron of the art and the catalogue of his collection listed over 6,000 known paintings. A prime example of a highly venerated court painter was Zhang Zeduan (1085–1145) who painted an enormous panoramic painting, Along the River During the Qingming Festival. Emperor Gaozong of Song initiated a massive art project during his reign, known as the Eighteen Songs of a Nomad Flute from the life story of Cai Wenji (b. 177). This art project was a diplomatic gesture to the Jin dynasty while he negotiated for the release of his mother from Jurchen captivity in the north.

In philosophy, Chinese Buddhism had waned in influence but it retained its hold on the arts and on the charities of monasteries. Buddhism had a profound influence upon the budding movement of Neo-Confucianism, led by Cheng Yi (1033–1107) and Zhu Xi (1130–1200). Mahayana Buddhism influenced Fan Zhongyan and Wang Anshi through its concept of ethical universalism, while Buddhist metaphysics deeply affected the pre–Neo-Confucian doctrine of Cheng Yi. The philosophical work of Cheng Yi in turn influenced Zhu Xi. Although his writings were not accepted by his contemporary peers, Zhu's commentary and emphasis upon the Confucian classics of the Four Books as an introductory corpus to Confucian learning formed the basis of the Neo-Confucian doctrine. By the year 1241, under the sponsorship of Emperor Lizong, Zhu Xi's Four Books and his commentary on them became standard requirements of study for students attempting to pass the civil service examinations. The neighbouring countries of Japan and Korea also adopted Zhu Xi's teaching, known as the Shushigaku (朱子學, School of Zhu Xi) of Japan, and in Korea the Jujahak (주자학). Buddhism's continuing influence can be seen in painted artwork such as Lin Tinggui's Luohan Laundering. However, the ideology was highly criticized and even scorned by some. The statesman and historian Ouyang Xiu (1007–1072) called the religion a "curse" that could only be remedied by uprooting it from Chinese culture and replacing it with Confucian discourse. The Chan sect experienced a literary flourishing in the Song period, which saw the publication of several major classical koan collections which remain influential in Zen philosophy and practice to the present day. A true revival of Buddhism in Chinese society would not occur until the Mongol rule of the Yuan dynasty, with Kublai Khan's sponsorship of Tibetan Buddhism and Drogön Chögyal Phagpa as the leading lama. The Christian sect of Nestorianism, which had entered China in the Tang era, would also be revived in China under Mongol rule.

Sumptuary laws regulated the food that one consumed and the clothes that one wore according to status and social class. Clothing was made of hemp or cotton cloths, restricted to a color standard of black and white. Trousers were the acceptable attire for peasants, soldiers, artisans, and merchants, although wealthy merchants might choose to wear more ornate clothing and male blouses that came down below the waist. Acceptable apparel for scholar-officials was rigidly defined by the social ranking system. However, as time went on this rule of rank-graded apparel for officials was not as strictly enforced. Each official was able to display his awarded status by wearing different-colored traditional silken robes that hung to the ground around his feet, specific types of headgear, and even specific styles of girdles that displayed his graded-rank of officialdom.

Women wore long dresses, blouses that came down to the knee, skirts, and jackets with long or short sleeves, while women from wealthy families could wear purple scarves around their shoulders. The main difference in women's apparel from that of men was that it was fastened on the left, not on the right.

The main food staples in the diet of the lower classes remained rice, pork, and salted fish. In 1011, Emperor Zhenzong of Song introduced Champa rice to China from Vietnam's Kingdom of Champa, which sent 30,000 bushels as a tribute to Song. Champa rice was drought-resistant and able to grow fast enough to offer two harvests a year instead of one.

Song restaurant and tavern menus are recorded. They list entrees for feasts, banquets, festivals, and carnivals. They reveal a diverse and lavish diet for those of the upper class. They could choose from a wide variety of meats and seafood, including shrimp, geese, duck, mussel, shellfish, fallow deer, hare, partridge, pheasant, francolin, quail, fox, badger, clam, crab, and many others. Dairy products were rare in Chinese cuisine at this time. Beef was rarely consumed since the bull was a valuable draft animal, and dog meat was absent from the diet of the wealthy, although the poor could choose to eat dog meat if necessary (yet it was not part of their regular diet). People also consumed dates, raisins, jujubes, pears, plums, apricots, pear juice, lychee-fruit juice, honey and ginger drinks, spices and seasonings of Sichuan pepper, ginger, soy sauce, vegetable oil, sesame oil, salt, and vinegar.

The Song dynasty had one of the most prosperous and advanced economies in the medieval world. Song Chinese invested their funds in joint stock companies and in multiple sailing vessels at a time when monetary gain was assured from the vigorous overseas trade and domestic trade along the Grand Canal and Yangtze River. Both private and government-controlled industries met the needs of a growing Chinese population in the Song; prominent merchant families and private businesses were allowed to occupy industries that were not already government-operated monopolies. Economic historians emphasize this toleration of market mechanisms over population growth or new farming technologies as the major cause of Song economic prosperity. Artisans and merchants formed guilds that the state had to deal with when assessing taxes, requisitioning goods, and setting standard workers' wages and prices on goods.

The iron industry was pursued by both private entrepreneurs who owned their own smelters as well as government-supervised smelting facilities. The Song economy was stable enough to produce over 100,000,000 kg (220,000,000 lb) of iron products per year. Large-scale Deforestation in China would have continued if not for the 11th-century innovation of the use of coal instead of charcoal in blast furnaces for smelting cast iron. Much of this iron was reserved for military use in crafting weapons and armouring troops, but some was used to fashion the many iron products needed to fill the demands of the growing domestic market. The iron trade within China was advanced by the construction of new canals, facilitating the flow of iron products from production centres to the large market in the capital city.

The annual output of minted copper currency in 1085 reached roughly six billion coins. The most notable advancement in the Song economy was the establishment of the world's first government issued paper-printed money, known as Jiaozi (see also Huizi). For the printing of paper money, the Song court established several government-run factories in the cities of Huizhou, Chengdu, Hangzhou, and Anqi. The size of the workforce employed in paper money factories was large; it was recorded in 1175 that the factory at Hangzhou employed more than a thousand workers a day.

The economic power of Song China can be attested by the growth of the urban population of its capital city Hangzhou. The population was 200,000 at the start of the 12th century and increased to 500,000 around 1170 and doubled to over a million a century later. This economic power also heavily influenced foreign economies abroad. In 1120 alone, the Song government collected 18,000,000 ounces (510,000 kg) of silver in taxes. The Moroccan geographer al-Idrisi wrote in 1154 of the prowess of Chinese merchant ships in the Indian Ocean and of their annual voyages that brought iron, swords, silk, velvet, porcelain, and various textiles to places such as Aden (Yemen), the Indus River, and the Euphrates. Foreigners, in turn, affected the Chinese economy. For example, many West and Central Asian Muslims went to China to trade, becoming a preeminent force in the import and export industry, while some were even appointed as officers supervising economic affairs. Sea trade with the South-west Pacific, the Hindu world, the Islamic world, and East Africa brought merchants great fortune and spurred an enormous growth in the shipbuilding industry of Song-era Fujian. However, there was risk involved in such long overseas ventures. In order to reduce the risk of losing money on maritime trade missions abroad, wrote historians Ebrey, Walthall, and Palais:

[Song era] investors usually divided their investment among many ships, and each ship had many investors behind it. One observer thought eagerness to invest in overseas trade was leading to an outflow of copper cash. He wrote, "People along the coast are on intimate terms with the merchants who engage in overseas trade, either because they are fellow-countrymen or personal acquaintances. ... [They give the merchants] money to take with them on their ships for purchase and return conveyance of foreign goods. They invest from ten to a hundred strings of cash, and regularly make profits of several hundred percent".

Science and technology

Main articles: Science and technology of the Song dynasty and Architecture of the Song dynasty

Further information: List of Chinese inventions and List of Chinese discoveries

Gunpowder warfare

Further information: History of gunpowder

Advancements in weapons technology enhanced by gunpowder, including the evolution of the early flamethrower, explosive grenades, firearms, cannons, and land mines, enabled the Song Chinese to ward off their militant enemies until the Song's ultimate collapse in the late 13th century. The Wujing Zongyao manuscript of 1044 was the first book in history to provide formulas for gunpowder and their specified use in different types of bombs. While engaged in a war with the Mongols, in 1259 the official Li Zengbo wrote in his Kezhai Zagao, Xugaohou that the city of Qingzhou was manufacturing one to two thousand strong iron-cased bombshells a month, dispatching to Xiangyang and Yingzhou about ten to twenty thousand such bombs at a time. In turn, the invading Mongols employed northern Chinese soldiers and used these same types of gunpowder weapons against the Song. By the 14th century the firearm and cannon could also be found in Europe, India, and the Middle East, during the early age of gunpowder warfare.

Measuring distance and mechanical navigation

As early as the Han dynasty, when the state needed to accurately measure distances traveled throughout the empire, the Chinese relied on a mechanical odometer. The Chinese odometer was a wheeled carriage, its gearwork being driven by the rotation of the carriage's wheels; specific units of distance—the Chinese li—were marked by the mechanical striking of a drum or bell as an auditory signal. The specifications for the 11th-century odometer were written by Chief Chamberlain Lu Daolong, who is quoted extensively in the historical text of the Song Shi (compiled by 1345). In the Song period, the odometer vehicle was also combined with another old complex mechanical device known as the south-pointing chariot. This device, originally crafted by Ma Jun in the 3rd century, incorporated a differential gear that allowed a figure mounted on the vehicle to always point in the southern direction, no matter how the vehicle's wheels turned about. The concept of the differential gear that was used in this navigational vehicle is now found in modern automobiles in order to apply an equal amount of torque to a car's wheels even when they are rotating at different speeds.

Polymaths, inventions, and astronomy

Further information: Chinese astronomy and List of Chinese inventions

Polymaths such as the scientists and statesmen Shen Kuo (1031–1095) and Su Song (1020–1101) embodied advancements in all fields of study, including botany, zoology, geology, mineralogy, metallurgy, mechanics, magnetics, meteorology, horology, astronomy, pharmaceutical medicine, archeology, mathematics, cartography, optics, art criticism, hydraulics, and many other fields.

Shen Kuo was the first to discern magnetic declination of true north while experimenting with a compass. Shen theorized that geographical climates gradually shifted over time. He created a theory of land formation involving concepts accepted in modern geomorphology. He performed optical experiments with camera obscura just decades after Ibn al-Haytham was the first to do so. He also improved the designs of astronomical instruments such as the widened astronomical sighting tube, which allowed Shen Kuo to fix the position of the pole star (which had shifted over centuries of time). Shen Kuo was also known for hydraulic clockworks, as he invented a new overflow-tank clepsydra which had more efficient higher-order interpolation instead of linear interpolation in calibrating the measure of time.

Su Song was best known for his horology treatise written in 1092, which described and illustrated in great detail his hydraulic-powered, 12 m (39 ft) tall astronomical clock tower built in Kaifeng. The clock tower featured large astronomical instruments of the armillary sphere and celestial globe, both driven by an early intermittently working escapement mechanism (similarly to the western verge escapement of true mechanical clocks appeared in medieval clockworks, derived from ancient clockworks of classical times). Su's tower featured a rotating gear wheel with 133 clock jack mannequins who were timed to rotate past shuttered windows while ringing gongs and bells, banging drums, and presenting announcement plaques. In his printed book, Su published a celestial atlas of five star charts. These star charts feature a cylindrical projection similar to Mercator projection, the latter being a cartographic innovation of Gerardus Mercator in 1569.

The Song Chinese observed supernovae, including SN 1054, the remnants of which would form the Crab Nebula. Moreover, the Soochow Astronomical Chart on Chinese planispheres was prepared in 1193 for instructing the crown prince on astronomical findings. The planispheres were engraved in stone several decades later.

There were many notable improvements to Chinese mathematics during the Song era. Mathematician Yang Hui's 1261 book provided the earliest Chinese illustration of Pascal's triangle, although it had earlier been described by Jia Xian in around 1100. Yang Hui also provided rules for constructing combinatorial arrangements in magic squares, provided theoretical proof for Euclid's forty-third proposition about parallelograms, and was the first to use negative coefficients of 'x' in quadratic equations. Yang's contemporary Qin Jiushao (c. 1202–1261) was the first to introduce the zero symbol into Chinese mathematics; before this blank spaces were used instead of zeroes in the system of counting rods. He is also known for working with the Chinese remainder theorem, Heron's formula, and astronomical data used in determining the winter solstice. Qin's major work was the Mathematical Treatise in Nine Sections published in 1247.

Geometry was essential to surveying and cartography. The earliest extant Chinese maps date to the 4th century BCE, yet it was not until the time of Pei Xiu (224–271) that topographical elevation, a formal rectangular grid system, and use of a standard graduated scale of distances was applied to terrain maps. Following a long tradition, Shen Kuo created a raised-relief map, while his other maps featured a uniform graduated scale of 1:900,000. A 3 ft (0.91 m) squared map of 1137—carved into a stone block—followed a uniform grid scale of 100 li for each gridded square, and accurately mapped the outline of the coasts and river systems of China, extending all the way to India. Furthermore, the world's oldest known terrain map in printed form comes from the edited encyclopedia of Yang Jia in 1155, which displayed western China without the formal grid system that was characteristic of more professionally made Chinese maps. Although gazetteers had existed since 52 CE during the Han dynasty and gazetteers accompanied by illustrative maps (Chinese: tujing) since the Sui dynasty, the illustrated gazetteer became much more common during the Song dynasty, when the foremost concern was for illustrative gazetteers to serve political, administrative, and military purposes.

The innovation of movable type printing was made by the artisan Bi Sheng (990–1051), first described by the scientist and statesman Shen Kuo in his Dream Pool Essays of 1088. The collection of Bi Sheng's original clay-fired typeface was passed on to one of Shen Kuo's nephews, and was carefully preserved. Movable type enhanced the already widespread use of woodblock methods of printing thousands of documents and volumes of written literature, consumed eagerly by an increasingly literate public. The advancement of printing deeply affected education and the scholar-official class, since more books could be made faster while mass-produced, printed books were cheaper in comparison to laborious handwritten copies. The enhancement of widespread printing and print culture in the Song period was thus a direct catalyst in the rise of social mobility and expansion of the educated class of scholar elites, the latter which expanded dramatically in size from the 11th to 13th centuries.

The movable type invented by Bi Sheng was ultimately trumped by the use of woodblock printing due to the limitations of Chinese characters, yet movable type printing continued to be used and was improved in later periods. The Yuan scholar-official Wang Zhen (fl. 1290–1333) implemented a faster typesetting process, improved Bi's baked-clay movable type character set with a wooden one, and experimented with tin-metal movable type. The wealthy printing patron Hua Sui (1439–1513) of the Ming dynasty established China's first metal movable type (using bronze) in 1490. In 1638, the Peking Gazette switched their printing process from woodblock to movable type printing. Yet it was during the Qing dynasty that massive printing projects began to employ movable type printing. This includes the printing of sixty-six copies of a 5,020 volume long encyclopedia in 1725, the Complete Classics Collection of Ancient China, which necessitated the crafting of 250,000 movable type characters cast in bronze. By the 19th century the European style printing press replaced the old Chinese methods of movable type, while traditional woodblock printing in modern East Asia is used sparsely and for aesthetic reasons.

The most important nautical innovation of the Song period seems to have been the introduction of the magnetic mariner's compass, which permitted accurate navigation on the open sea regardless of the weather. The magnetized compass needle – known in Chinese as the "south-pointing needle" – was first described by Shen Kuo in his 1088 Dream Pool Essays and first mentioned in active use by sailors in Zhu Yu's 1119 Pingzhou Table Talks.

There were other considerable advancements in hydraulic engineering and nautical technology during the Song dynasty. The 10th-century invention of the pound lock for canal systems allowed different water levels to be raised and lowered for separated segments of a canal, which significantly aided the safety of canal traffic and allowed for larger barges. There was the Song-era innovation of watertight bulkhead compartments that allowed damage to hulls without sinking the ships. If ships were damaged, the Chinese of the 11th century employed drydocks to repair them while suspended out of the water. The Song used crossbeams to brace the ribs of ships in order to strengthen them in a skeletal-like structure. Stern-mounted rudders had been mounted on Chinese ships since the 1st century, as evidenced by a preserved Han tomb model of a ship. In the Song period, the Chinese devised a way to mechanically raise and lower rudders in order for ships to travel in a wider range of water depths. The Song arranged the protruding teeth of anchors in a circular pattern instead of in one direction. David Graff and Robin Higham state that this arrangement "[made] them more reliable" for anchoring ships.