Mathematical method is to express the state, relationship and process of things in mathematical language, and to deduce, calculate and analyze them, thus forming a method of explaining, judging and predicting problems. The so-called method refers to the operable rules or patterns contained in the means, ways and behaviors that people take to achieve a certain goal. Through long-term practice, people have discovered many means, methods or procedures of applying mathematical ideas. The same method, channel or program is used repeatedly for many times, and it has achieved the expected purpose, and it has become a mathematical method. Mathematical method is a scientific research method with mathematics as a tool, that is, mathematical language expresses the state, relationship and process of things, and after deduction, operation and analysis, it forms a method of explanation, judgment and prediction.

There are two kinds of reasoning methods:

1, the conventional deduction method deduces a proposition from an axiom or a known proposition, and proves that the proposition is a sub-proposition of a known axiom. The key point is to clarify the meaning and conditions of the proposition and find out the equivalent meaning and conditions of the proposition. It is best to convert it into a numerical equality relationship, and then carry out symbolic calculation. This calculus method is universal, and in some special cases, it can also be transformed into intuitive geometric relations, which can be proved by intuitive geometric relations, but geometric methods need inspiration and are not universal.

2, reduction to absurdity, assuming that the proposition is not established, deducing the contradictory proposition, thus proving that the proposition is established. The application is limited, so I won't introduce it.