factorial
Factorial factor is an operation symbol invented by Keyston Kaman (1760 ~1826) in 1808, and it is a mathematical term. The factorial of a positive integer is the product of all positive integers less than or equal to this number, and the factorial of 0 is 1. The factorial writing of natural number n! . In 1808, Keyston Kaman introduced this symbol. Which is n! =1× 2× 3× ...× n. The factor can also be defined recursively: 0! = 1，n！ =(n- 1)！ ×n .
massive
Advanced mathematics is a basic subject formed by calculus, algebra, geometry and their overlapping contents, and is regarded as the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities. Its main contents include series, limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations, and it is also the basic subject of postgraduate examinations in engineering, science and finance.
In China, students majoring in science and engineering (except mathematics, who study mathematical analysis) have difficulty in learning mathematics, which is often called "advanced mathematics" in textbooks; Students majoring in literature and history learn a little shallower mathematics, and their textbooks are often called "calculus". Different majors in science and engineering, literature and history have different degrees of depth.
It is advanced mathematics that studies variables, but advanced mathematics does not only study variables. The courses attached to Advanced Mathematics usually include: linear algebra (advanced algebra for mathematics majors), probability theory and mathematical statistics (some mathematics majors study separately).
As a basic science, advanced mathematics has its inherent characteristics, namely, high abstraction, strict logic and wide application. Abstraction and calculation are the most basic and remarkable features of mathematics. Only with a high degree of abstraction and unity can we profoundly reveal its essential laws and make it more widely used.
Strict logic means that in the induction and arrangement of mathematical theory, whether it is concept and expression, or judgment and reasoning, we must use the rules of logic and follow the laws of thinking. Therefore, mathematics is also a way of thinking, and the process of learning mathematics is the process of thinking training.
The progress of human society is inseparable from the wide application of mathematics. Especially in modern times, the appearance and popularization of electronic computers have broadened the application field of mathematics. Modern mathematics is becoming a powerful driving force for the development of science and technology, and it has also penetrated into the field of social sciences extensively and deeply.