First, mathematics:

Mathematics is a subject that studies quantity, structure, change and their relationship. Mathematicians use symbols, formulas and abstract reasoning methods to explore and describe the laws of patterns, forms and phenomena. Mathematics is widely used in science, engineering, economy, computer science and other fields.

Second, the quantity:

Quantity refers to the concept of how much or how big something is. In mathematics, quantities can be represented by numbers, which can be integers, fractions, decimals, etc. Quantitative operations include addition, subtraction, multiplication and division.

Third, the structure:

Structure refers to the relationship and organization between the internal components of things. In mathematics, structures include sets, algebraic structures, topological structures and so on. Mathematicians can reveal the inherent laws of things and develop corresponding mathematical theories and methods by studying the structure.

Fourth, change:

Change refers to the continuous evolution and transformation of things in time and space. In mathematics, changes can be described by functions, which are rules that map one set of numbers to another. By studying changes, mathematicians can study the growth, decline and periodicity of things.

Verb (abbreviation for verb) relationship:

Relationship refers to the connection and interaction between things. In mathematics, relations can be described by tools such as set theory and graph theory. Mathematicians can reveal the dependence and correspondence between things by studying relationships.

Six, formula:

A formula is an equality or inequality composed of symbols and mathematical symbols. Formulas can describe the laws and theorems of mathematical relations. In mathematics, formula is the basis of derivation and proof, and it is also one of the tools to solve problems.

Seven, reasoning:

Reasoning is a process of thinking and judging according to known conditions and logical rules. In mathematics, reasoning is the key method to discover and prove mathematical theorems. Mathematicians can deduce the unknown from the known through reasoning, thus deeply understanding mathematical problems.

Eight. Summary:

Mathematics is a subject that studies quantity, structure, change and their relationship. It describes and explores the laws of things through mathematical symbols, formulas, reasoning and abstraction. Mathematics involves various fields and has a wide range of application values.