Meaning of equation: Equation refers to an equation with unknown numbers. By solving the equation, we can avoid the difficulty of reverse thinking and directly list the equations with the quantity to be solved. There are many forms of equations, such as one-dimensional linear equation, two-dimensional linear equation, one-dimensional quadratic equation and so on. , can also be combined into equations to solve multiple unknowns.
Properties of the equation 1: both sides of the equation add and subtract the same number at the same time, and the left and right sides are still equal. Property 2 of the equation: both sides of the equation are multiplied or divided by the same number that is not 0 at the same time, and the left and right sides are still equal.
3600 years ago, the mathematical problems written by ancient Egyptians on papyrus involved equations with unknowns. Around 825 AD, Al Hualazimi, a mathematician in Central Asia, wrote a book called "Elimination and Return", focusing on solving equations. Liu Hui, a mathematician in China, commented on Nine Chapters of Arithmetic, saying: Cheng, curriculum, two things and two lessons, and three things and three lessons are all equal to the number of courses, so they are called equations.
The so-called "number of events" here means that if there are several unknowns, several equations must be listed. The coefficient of each unknown in linear equations is expressed by calculation, like a square matrix, so it is called an equation. He also created a simpler "mutual multiplication and mutual elimination" solution equation.
Therefore, the word "equation confusion" first appeared in the book Nine Chapters Arithmetic written by China in the early years of the Eastern Han Dynasty. The book is divided into nine chapters, and "Equation" is one of them.
? Historical background of the equation
The concept of equation first appeared in China's ancient mathematical work "Nine Chapters Arithmetic", in which the unknown was called "things don't know the number" and the method to solve the equation was put forward. Since then, China mathematician Liu Hui put forward the concept of "process number like an object" when commenting on "Nine Chapters Arithmetic", that is, several equations must be listed for several unknowns, and a "mutual multiplication and cancellation" method for solving the equations was established.
In the west, the concept and development of equations are closely related to ancient Greek mathematicians. Euclid, an ancient Greek mathematician, put forward a linear equation and a quadratic equation in his book Elements of Geometry, and studied their solutions. In addition, the French mathematician Veda systematically expounded the method of solving equations in his book Identification and Solution of Equations, and introduced symbolic algebra, which laid the foundation for the development of modern algebra.
In modern mathematics, equations are widely used in various fields, such as physics, engineering, economy and so on. At the same time, with the development of computer technology, the solving methods of equations have been improved and innovated, such as numerical analysis method and symbolic calculation method.
In a word, equation is a very important concept in mathematics with a long history, which involves the contribution and development of Chinese and western mathematicians. The equation is widely used, which is of great significance to the medium-term scientific research and the solution of practical problems.