Seek understanding and views on the history of mathematics

The study of the history of mathematics has its scientific, cultural and educational significance.

1. The Scientific Significance of the History of Mathematics:

Mathematical science has a long history, compared with the natural science, mathematics is a cumulative science, and its concepts and methods are more continuous, such as the decimal notation and the four rules of operation formed in ancient civilizations, which we still use today, and the mathematical tradition and the materials of the history of mathematics can be developed in the study of mathematics in reality.

2. The cultural significance of the history of mathematics.

Mathematics is not only a method, an art or a language, but also a body of knowledge with rich content. Mathematics has widely influenced human life and thought, and is a major force in the formation of modern culture. Therefore, the history of mathematics is the history of human culture reflected from one side, and it is also the most important part of the history of human civilization.

3. The educational significance of the history of mathematics.

Mathematics textbooks have been tempered and tempered, and they have been repeatedly compiled under the guidance of the principle of combining scientific and educational requirements, and they are a knowledge system that selects and compiles historical mathematical materials according to certain logical structures and learning requirements, so that the actual background, knowledge background, evolution process and various factors leading to the formation of many mathematical concepts and methods are inevitably discarded.

Therefore, it is difficult to obtain the original appearance and panorama of mathematics by the study of mathematics textbooks alone, and at the same time ignore those mathematical materials and methods that have been eliminated by history but may be useful to real science, and the best way to make up for this deficiency is through the study of the history of mathematics.

Mathematics, which originated from the early production activities of human beings, is one of the six arts in ancient China, and is also regarded by ancient Greek scholars as the starting point of philosophy. The Greek word for mathematics, mathematikós) means "the foundation of learning" and is derived from ?máthema) ("Science, Knowledge, Learning").

The evolution of mathematics can be seen as the continuous development of abstraction, or the extension of subject matter. The first abstracted concept is probably a number, and the recognition of something in common between two apples and two oranges is a breakthrough in human thought. In addition to knowing how to count the quantities of actual matter, prehistoric humans also learned how to count the quantities of abstract matter, such as time, days, seasons, and years.

Arithmetic (addition, subtraction, multiplication, and division) also comes naturally. Ancient steles also confirm the knowledge of geometry at that time.

Further, it is necessary to learn about buried writing or other systems that can record numbers, such as runes or kipp, which were used to store data within the Inca Empire. There have been many and divergent notation systems throughout history.

From the very beginning of the historical era, the main principles of mathematics were formed in order to do tax and other related calculations, to understand the relationship between numbers, to measure land, and to determine astronomical events. These needs can be summarized simply as mathematical studies of quantity, structure, space, and time.

By the 16th century, elementary mathematics such as arithmetic, elementary algebra, and trigonometry were largely complete. In the 17th century, the concept of variables was developed, which led to the study of the interrelationship between quantities and the transformation of graphs in change. In the process of studying classical mechanics, the method of calculus was invented.

With the further development of natural science and technology, set theory and mathematical logic, which were developed to study the foundations of mathematics, also began to develop slowly.

Mathematics has been extended since ancient times, and has a rich interaction with science, benefiting both. Mathematics has made many discoveries throughout history, and continues to be discovered to this day. According to Mikhail's January 2006 issue of the Bulletin of the American Mathematical Society, "the number of books and books in the Mathematical Review Database** has exceeded 1.9 million since 1940 (the year of the founding of the Mathematical Review), with more than 75,000 more being added each year."

The vast majority of this study consists of new mathematical theorems and their proofs. ”

1 Physics. Biology, Chemistry, Geodesy, Cryptography.

2 N/A Abel Medal Fields Medal.

3. Irrational numbers I don't know.

4 Not the development of mathematical rigor by Abel et al.

5. Wang Yuan, Chen Jingrun, Qiu Chengtong, develop new branches.

6, Zu Chongzhi, Pi, 7, Yang Hui, etc.

7 don't know 8 more.

9 Non-Euclidean geometry, Fiou.

1.There's a lot of math in almost every field.

2.The Nobel Prize has no prize in mathematics. It seems that there is a Pulitzer Prize that is called the Nobel Prize of mathematics.

I'll go, your question is too professional, how embarrassing is it for me to score 26 points in the advanced mathematics test!

Some people believe that mathematical culture should include the history of mathematics, but others think that the study of the history of mathematics obviously precedes the study of mathematical culture in terms of the time of development, and the history of mathematics is an independent discipline.

The study of the history of mathematics does predate the study of mathematical culture, and the history of mathematics also has a strict definition and standardized research methods, so the history of mathematics is a discipline. Mathematical culture cannot be regarded as a discipline, and everything related to mathematics can be classified as mathematical culture in a broad sense. When the scope is larger, the normativity will inevitably be weakened, so mathematical culture is just a title, not yet a discipline.

There is no problem with the statement that mathematical culture includes the history of mathematics, because it is only a term and does not involve the inclusion relationship between disciplines.