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Mongolian science
Mongolian medicine is a traditional medicine gradually formed and developed by Mongolian people in long-term medical practice. It has a long history and rich contents. It is the experience summary and wisdom crystallization of Mongolian people's struggle against diseases, and it is also a medical science with distinctive national and regional characteristics. In the diagnosis and treatment of diseases, it has the characteristics of less dosage, good curative effect, economy and simplicity.

Mongolian medicine "He Yi", "Sheila" and "Badagan" are used to explain the physiological and pathological phenomena of human body. The so-called "He Yi" refers to the motive force of various physiological functions. All thinking, language, movements and functional activities of various organs are dominated by it. If the function of "He Yi" is abnormal, it will weaken the function of zang-fu organs, showing mental abnormality, insomnia, forgetfulness and so on. Sheila means sexy. The temperature of the body, the heat energy of various tissues and organs, and the spiritual excitement are all played by Sheila. When "Sheila" is on the high side, there will be various fevers, such as bitter taste, acid vomiting and manic expression. "Badagan" refers to a sticky substance in the body, which has the characteristics of coldness. The dysfunction of "Eight Trunks" is not only manifested as common cold syndrome, but also easily leads to stagnation of water and fluid and increase of various secretions.

Medical works such as Si Bu Gan Lu, Coral Prescription, Synopsis of the Golden Chamber of Mongolian Medicine, Preparation and Pulse Diagnosis of Mongolian Medicine and Classic of Mongolian Medicine have great influence on medical theory, prescription, diagnosis and medicine. In addition, he also translated and annotated many medical works, such as Mongolian and Tibetan medicine, pulse diagnosis, four basic theories of medicine and five medical classics. In veterinary medicine, Mongolians have also made important contributions. Mongolians have a lot of research on mathematics. It was Mungo who first studied Euclid's Elements of Geometry. According to records, "Genghis Khan was the king of Yimeng, and the emperor was knowledgeable. He knows how to explain some schemas of Euclid family. "

/kloc-At the beginning of the 8th century, Minggatu, a Mongolian scientist who worked in Tian Jian, Qin, made great contributions to mathematics. At that time, three analytic formulas about trigonometric functions were introduced from Europe, but none of them were proved. Mingatou "only cares about its method, but doesn't know its meaning", so he spent 30 years studying it. He not only proved three formulas by the method of "cutting circle and connecting proportion", but also independently obtained six analytical formulas. The manuscript of mathematical research left by Ming Gatu was later compiled into a book by his son Ming Xin and student Chen Hezhang, and the title was written as a four-volume mathematical monograph "Secant Circle Density". "Secant circle" refers to dividing the circumference into several equal parts, or dividing an arc length in the circumference into several equal parts, and then calculating the circumference of the circle or an arc length in the circumference by secant circle method. This value is very close to the actual value, which can also be said to be an approximate value of pi. "Agile method" refers to a method that can calculate simply and quickly. In this book, he not only strictly proved the correctness of three infinite series introduced from the west, but also deduced three formulas: circle diameter for circumference, sine for arc back, and positive vector for arc back. He also discovered and demonstrated six infinite series, and created six formulas that were beyond the scientific level of the world at that time, namely, chord arc, vector arc, chord-crossing arc, chord arc and positive vector. In proving these nine formulas, he also created four formulas, namely cosine of cosine, sine cosine of arc back and sine cosine of arc back. The "tangent circle and proportional method" he founded contains the advanced idea of combining shape and number and transforming straight lines and arcs into each other. This idea of finding a circle by a straight line and finding a straight line by a circle has the same meaning as that of western calculus, and it was a relatively advanced idea in the field of mathematics in the world at that time. Therefore, Mingatou is regarded as the pioneer of calculus and advanced mathematics in China and has made great contributions to the development of mathematics in China.

Minggatu is not the only Mongolian who has studied mathematics and left his works to future generations. Besides, he can also mention Durham in the late Qing Dynasty. Durham wrote a volume called "Making a joke is generous", also called "Shao Chu Edition", which belongs to elementary mathematics. In the early days of Mongolia, due to its low productivity, it did not understand natural phenomena and was dominated by nature. Therefore, they worship natural objects, such as Hang 'ai Mountain, Altai Mountain, Ili River and Irtysh River. And give people the same life, will, personality, transcend nature and become a god. From all kinds of worship, there is no clear concept. With the development of society, the expansion of activities and the formation of animism, people associate with concrete knowledge, not only perceptual knowledge, but also the development of rational knowledge and thinking ability, forming the early Mongolian social thought.

After Genghis Khan established the Mongolian khanate, he endowed it with the right to sweat, strengthened it, and realized its unity with the idea of immortality, which conformed to the trend of social development. Kublai Khan established the Yuan Dynasty and further consolidated and improved the feudal monarchy. In terms of hierarchy and Buddhist thought, it fully demonstrated people's ability to understand the world at that time, and the book The Secret History of Mongolia reflected the consciousness of the times. They combined Mongolian Khan with the son of heaven, thinking that heaven is the Buddha and Buddha is the master of heaven. Mongolian Khan is not the son of heaven, but the incarnation of Buddha, becoming the unity of Buddha and Khan, and the Buddha is eternal and supreme. Buddhist thought gradually merged the original social thought of Mongolia and disintegrated the traditional thought of worshiping heaven. This is also a major change in Mongolian political philosophy, marking the development of philosophical thought.

There have been many scientists in astronomy, medicine and science and technology in Mongolian history, and their works contain many philosophical thoughts, which can be reflected in their works. For example, Ming Gatu, a Mongolian scientist engaged in scientific research, believes that the object of his research is objective existence and the objective law of nature. In his book The Method of Secant Circle Density and Efficiency, he believes that seeking a circle is not a product of thought, but a natural change, which is deeply hidden in the outside world. Although the book is a mathematical principle, the explanation of reflecting the specific quantity of things through concrete mathematical practice is refined through scientific argumentation and is a materialistic point of view. It also embodies the simple dialectical thought of Ming Jiatu.