first stage
The formative period of mathematics is the period when human beings establish the most basic mathematical concepts. Since counting, human beings have gradually established the concept of natural numbers, simple calculation methods, and recognized the most basic and simplest geometric forms. Arithmetic and geometry are not separated.
The second period
Elementary mathematics, that is, the period when mathematics remains unchanged, the most basic and simple achievements in this period constitute the main content of middle school mathematics. This period began in the 5th century BC, maybe earlier, and lasted for about two thousand years until17th century. This period gradually formed the main branches of elementary mathematics: arithmetic, geometry and algebra.
tertiary
In the period of variable mathematics, variable mathematics came into being in17th century, and generally went through two decisive and significant steps. The first step is the generation of analytic geometry, and the second step is calculus, that is, the branch of mathematics that studies the differential and integral of functions and related concepts and applications in higher mathematics. It is a basic subject of mathematics, which mainly includes limit, differential calculus, integral calculus, equation and its application.
Differential calculus, including the calculation of derivative, is a set of theory about the rate of change, which makes the function, velocity, acceleration and slope of curve can be discussed with a set of universal symbols, while integral calculus, including the calculation of integral, provides a set of universal methods for defining and calculating area and volume.
The fourth stage
Modern mathematics, that is, the period of modern mathematics, began at the beginning of19th century, which is the beginning of the modern stage of mathematics development, characterized by profound changes in all basic algebra, geometry and analysis.
The Chinese nation is a nation with splendid culture and a long history. Among the splendid cultural treasures, mathematics also has many dazzling auras in the history of world mathematics development. Many research achievements of China's ancient arithmetic have already bred advanced thinking methods of western mathematical design, and many world-leading mathematical research achievements in modern times are named after China mathematicians.
Fahrenheit theorem is the research result of Hua, a famous mathematician in China. The semi-automorphism of an object must be an automorphism, an automorphism or an anti-isomorphism. Mathematician Hua's research achievement on the complete triangular sum is called Fahrenheit theorem by the international mathematical community, and the approximate calculation method of multiple integrals proposed by him and mathematicians is internationally praised as Hua-Wang Fang.
Su Zui, a mathematician of Su Zui, was named Su Zui internationally because of his research achievements in affine differential geometry.
One of the most wonderful discoveries of Academician Su in affine differential geometry is that he constructed a quartic algebraic cone that is invariant to general surfaces.
In the visiting surface theory, many covariant geometric objects, including two principal tangents, three Dabao tangents, three line segment tangents and affine normals, can be reflected by this cone and its three vertex straight lines in a wonderful way. This cone is called Su cone.
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? Piaget said: "The disadvantage of traditional teaching is that it often explains orally, rather than learning mathematics from actua