Mathematics is a discipline that studies the concepts of quantity, structure, space and change, and its essence lies in studying and exploring the laws and principles of mathematics. Mathematics is a very abstract subject, but its application is everywhere.
It involves natural science, social science, engineering technology and other fields. In mathematics, mathematicians discover new laws and theorems through reasoning and proof, thus promoting the development of human civilization.
It is not only a subject about numbers, but also involves abstract concepts and reasoning. Mathematicians describe and solve various problems through abstract concepts and symbols. Abstraction enables mathematics to be applied to various fields, such as physics, computer science, economics and so on. Mathematics is a very logical subject.
Its reasoning process is strict and gradual, and each step needs strict proof. In mathematics, theorems are obtained through axioms and reasoning, which makes mathematics a very reliable subject.
Mathematics is a universal means for human beings to strictly describe and deduce the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.
Rigidity:
Mathematical language is also difficult for beginners. How to make these words have more accurate meanings than everyday language also puzzles beginners. For example, the words "open" and "domain" have special meanings in mathematics.
Mathematical terms also include proper nouns such as embryo and integrability. But these special symbols and terms are used for a reason: mathematics needs accuracy more than everyday language. Mathematicians call this requirement for linguistic and logical accuracy "rigor".