Zhu Shijie's book Arithmetic Enlightenment is a well-known mathematical masterpiece, which once spread overseas and influenced North Korea? The development of mathematics in Japan. "meeting with the source of thinking" is another symbol of the peak of mathematics in China in Song and Yuan Dynasties, among which the most outstanding mathematical creation is "the book of thinking about the source"? "Stacking Method" and "Calling for Difference"
Zhu Shijie's adolescence is similar to that after the Mongolian Jin Dynasty. After Yuan unified the whole country, Zhu Shijie traveled around the world as a mathematician for more than 20 years, and many people learned from him. When I arrived in Guangling, the history contained "gathering people with the door".
As far as the development of mathematics at that time was concerned, mathematical research centers represented by "Tianyuan Shu" appeared in southern Hebei and southern Shanxi.
At that time, the north was in the process of monty gradually developing into duality? In the important period of ternary technology, Zhu Shijie inherited the main achievements of northern mathematics at that time, and extended the achievements of "Tianyuan technology" to quaternary technology.
Zhu Shijie not only inherited and developed the mathematical achievements of the north, but also absorbed the mathematical achievements of the south at that time, such as all kinds of daily necessities? Business Mathematics and Formulas? Songs, etc.
Zhu Shijie after a long study tour? After giving lectures, he completely inherited the mathematical achievements of his predecessors, absorbing not only the celestial science in the north, but also the positive and negative formulas and popular songs in the south. On this basis, he carried out creative research, wrote "Arithmetic Enlightenment" aimed at summing up and popularizing all kinds of mathematical knowledge at that time, and also wrote his masterpiece "Meeting with Siyuan", which were written in 1299 and 1303 respectively.
The book "The Enlightenment of Arithmetic" consists of 3 volumes, 20 subjects and 259 questions and corresponding answers. This book, from multiplication and division to the highest achievement of mathematics development at that time, comprehensively introduced all aspects of mathematics at that time.
The test paper is divided into eight parts, including 1 13 math problems. Its content is: multiply with a single-digit multiplier? The first bit of the multiplier is the multiplication of 1 Multiplication of multiple digits? Division with the first divisor 1 Division of multi-bit divisor? Calculate interest and other proportional issues? Taxes, etc.
Among them, the seventh problem of the "national treasury tax solution door" is "there is a tax law consistent with tax payment", and the same door is the tenth? Questions 1 1 and 12 both contained "two taxes", which were actually implemented at that time.
Zhu Shijie often writes "Now" in his notes in books? It can be seen that most of the data in the book came from the social reality at that time. So, the price mentioned in the book includes land price? The yield per unit area of rice is also useful for understanding the economic situation of the Yuan Dynasty.
There are ***7 doors in the volume, 7 1 q. What are the contents of various fields? Warehouse volume? Engineering earthwork? Complex proportional calculation, etc.
Roll down ***5 doors and ask 75 questions. Including all kinds of score calculation? Stacks and problems? Residual algorithm? Solution of first order equation? Celestial art, etc.
The main contribution is to create a set of methods to eliminate unknowns, called "four-element elimination method". This method has long been in the leading position in the world. Until18th century, the French mathematician Bezu put forward the general solution of higher-order equation, which can be compared with Zhu Shijie.
Arithmetic Enlightenment is a well-known enlightenment book with complete system, simple content and easy to understand. This work was later spread to North Korea? Japan and other countries have published reprinted and annotated editions, which have had a certain impact.
There are 3 volumes, 24 doors and 288 questions in the book "Meeting with Siyuan". All the problems in the book are related to solving equations or equations.
For example, four yuan and seven questions, three yuan 13, two yuan 36 and one yuan 232. It can be seen that the solution of multivariate higher-order equations, that is, "four-element technique", is the main content of "Four-element Jade Mirror" and the main achievement of the book.
Another outstanding achievement of Meet with Siyuan is the summation of higher-order arithmetic progression. On this basis, Zhu Shijie further solved the problem of high-order difference method. Is this him "piling up"? Research and achievements in "Zhao Shu" and other aspects.
These achievements are another sign that China's mathematics reached its peak in Song and Yuan Dynasties. Among them, the solution of high-order simultaneous equations with up to four elements, the expression and operation of linked polynomials and the elimination method are discussed. It is close to modern algebra and is in the leading position in the world, 400 years earlier than the west.
"Meet with Siyuan" is a brilliant mathematical masterpiece, which is highly praised by researchers in the history of modern mathematics.
American historian of science Sutton praised:
"Meet with Siyuan" is one of China's most important mathematical works, and also one of the outstanding mathematical works in the Middle Ages.
Zhu Shijie is one of the most outstanding mathematicians in his time and even throughout the ages.
Zhu Shijie and his works deserve such high praise.
Zhu Shijie is not only an outstanding mathematician, but also a mathematics educator. He has traveled all over the world and taught students for more than 20 years. And personally wrote an introductory book on mathematics, The Enlightenment of Arithmetic. In "The Enlightenment of Arithmetic", Zhu Shijie put forward the known hook string and? The method of solving Pythagorean shape with chord sum supplements the deficiency of Nine Chapters Arithmetic.
Zhu Shijie is in the heyday of the development of traditional mathematics in China. At that time, the society "respected arithmetic and gradually popularized science", and mathematical works were widely circulated.
In a word, did Zhu Shijie fully inherit Qin in mathematical science? Ye Li? Yang Hui's mathematical achievements, and creative development, wrote "Arithmetic Enlightenment"? Famous works such as Meet with Siyuan pushed China's ancient mathematics to a new height and formed the highest peak of China's mathematics in the Song and Yuan Dynasties.
Zhu Shijie