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What are the research methods of mathematics?
There are many ways to learn mathematics. Here are some common methods:

-Proof method: The core of mathematics is proof. By constructing strict logical reasoning, the reason why a proposition is true is expounded. There are different ways of proof, such as direct proof, indirect proof and reduction to absurdity.

-InductiveMethod: by observing a series of specific situations, we can draw general conclusions. Mathematical induction is often used to prove some propositions about integers or natural numbers.

-Reverse reasoning: Starting from the conclusion to be proved, think backwards and analyze the preconditions and steps for reaching the conclusion.

-ConstructiveMethod: Prove some properties or propositions by constructing concrete objects, functions or structures.