Algebra is a branch of mathematics, which studies the general solutions and properties of numbers, quantities, relationships, structures and algebraic equations. Elementary algebra is generally taught in middle schools. It introduces the basic idea of algebra, studies what happens when numbers are added or multiplied, understands the concept of variables and the construction method of polynomials, and finds its roots. Algebra studies not only numbers, but also various abstract structures.
The common types of algebraic structures are groups, rings, fields, modules, linear spaces and so on. Algebra is a branch of mathematics. In previous algebra, the formula of using words (variables) to represent unknowns or constants was used for arithmetic operations. If division is not included, if integer division is used, then each expression is a polynomial containing rational numbers.
Algebraic rules:
1, five basic algorithms: additive commutative law, additive associative law, multiplicative commutative law, multiplicative associative law and distributive law.
2. The basic properties of the two equations: both sides of the equation add (subtract) the previous number at the same time, and the equation remains unchanged; Both sides of the equation are multiplied (divided) by a non-zero number at the same time, and the equation remains unchanged.
3. Three exponential laws: exponentiation with the same base and exponential addition with constant base; Power, exponential multiplication based on constant; The power of the product is equal to the product of power.
Elementary algebra has been further developed in two aspects: on the one hand, it studies linear equations with many unknowns; On the other hand, it is to study (one-dimensional) higher-order equations with high unknowns. At this time, algebra has developed from elementary algebra to advanced algebra, and correspondingly formed two plates: linear algebra and (unary) polynomial algebra.