Abstract: Mathematics is a science that studies the way of human thinking. Almost all human activities are inseparable from mathematical tools. Infiltrating mathematical knowledge into chemistry is actually abstracting chemical problems into mathematical problems, which is very similar to mathematical modeling, that is, using mathematical tools mastered in chemistry, by analyzing the relationship between chemical variables, establishing certain mathematical relations or constructing mathematical models, and finally achieving the purpose of solving problems. Infiltrating mathematical knowledge into chemistry is not only fresh and interesting, but also conducive to stimulating interest. By using mathematical knowledge, we have expanded the skills of college students and improved our thinking quality. Moreover, many chemical problems cannot be solved without mathematics, and many chemical substance analysis needs mathematics to explain. Keywords: the relationship between mathematics and chemistry

Mathematics permeates chemistry. Chemistry is a very extensive science, which is divided into inorganic chemistry, organic chemistry, analytical chemistry, physical chemistry and biochemistry according to the research scope. Mathematics will be used in these subjects. For a long time, people have always thought that only mathematical knowledge is needed in chemical calculation, such as some arithmetic, elementary algebra, derivation, differentiation and so on. Other knowledge of the opposite aspects of mathematics is basically not needed in the field of chemistry. In fact, with the progress of the times, mathematical methods have penetrated into the field of pure chemistry. Mathematics has been applied to chemistry not only in language but also in technology, and has been unexpectedly applied in many aspects. The new discovery of chemistry and the analysis of important achievements are inseparable from mathematics. The development and in-depth study of mathematics will occupy an important position in chemical research. Mathematics is a tool and motivation for learning chemistry, so mathematics is widely used in the field of chemistry.

2, 1 infiltration mathematical induction knowledge As we all know, in order to deduce the maximum number of electrons contained in each electron layer outside the nucleus, we must systematically study the electron layer, electron sublayer (the shape of electron cloud), atomic orbit (the extension direction of electron cloud), the spin direction of electrons, the lowest principle of energy, Hunt's rule and Pauli's exclusion principle, which have been deleted from high school chemistry textbooks. It is impossible for students to deduce the maximum number of electrons contained in each electron layer outside the nucleus according to the known chemical knowledge, but they can achieve the same goal by means of complete induction in mathematics. For example, it is deduced by mathematical induction that the maximum number of electrons accommodated in the layered arrangement of extranuclear electrons is 2n2.

2, 2 Infiltration sequence and limit knowledge to solve the molecular formula is a common problem in organic chemistry, but a given substance often fails to pass the code.