Master the law of numbers and train logical thinking. Mathematics is a basic subject, and all other subjects will be applied except Chinese.
There are many seemingly boring and unreasonable problems that have unexpected applications in real life. For example, the binary system of computer, such as the application of conic curve, maybe you only know that it is very troublesome and abnormal. In fact, the principles of reflector and cooling tower are indispensable!
strict
Stiffness is a very important and basic part of mathematical proof. Mathematicians hope that their reasoning and axioms of the definite reason system can be inferred. This is to avoid relying on unreliable intuition, so as to get the wrong "theorem" or "proof".
There are many examples of this situation in history, and the rigor of expectation in mathematics changes with time: the Greeks expected careful argumentation, but in Newton's time, the methods used were not so rigorous.
Newton's definition of solving problems was not properly handled by mathematicians through rigorous analysis and formal proof until the19th century. Mathematicians have been arguing about the rigor of computer-aided proof.