1. Natural number refers to a positive integer, including all integers from 1 to infinity. Natural number is one of the most basic concepts in mathematics, and it is widely used in many fields such as arithmetic, algebra and geometry.
2. Definition of natural numbers. A natural number is a continuous integer sequence starting from 1, and each number is called a natural number, where "n" stands for infinite integer, and the positive direction is infinite. Natural numbers can also be expressed as other mathematical symbols, such as "n" or "nN", but they are essentially the same concept.
3. Natural numbers can also be added and multiplied. These operations follow some basic laws and theorems, such as additive associative law, multiplicative associative law, additive commutative law, multiplicative commutative law, additive multiplicative law and so on. These laws and theorems come from the definition and properties of natural numbers.
Knowledge about mathematics
1. Basic concepts of mathematics: Numbers are the basis of mathematics, which can be integers, decimals, fractions or irrational numbers. Operation refers to addition, subtraction, multiplication and division of numbers or expressions. Axiom is the basic principle in mathematics and the basis of other theorems and proofs. Theorem refers to an axiom or law that has been proved. Proving refers to proving the correctness of the conclusion through logical reasoning.
2. The main branch of mathematics: algebra is a subject that studies numbers, variables, sets and algebraic structures. Geometry is a subject that studies the concepts of shape, size and position. It can be divided into Euclidean geometry and non-Euclidean geometry. Probability statistics is a mathematical discipline that studies random events, including probability theory and statistics. Analysis is the study of function, sequence, infinite series and calculus.
3. Historical development of mathematics: The history of mathematics can be traced back to ancient times, and ancient Egyptians, ancient Greeks, ancient Indians and ancient China all made important contributions to the development of mathematics. Ancient mathematics mainly involved in counting, arithmetic, geometry and other fields. In the Middle Ages, mathematics in Europe developed rapidly, and many mathematicians and works appeared.