Mathematical methods include: collocation method, method of substitution method, reduction to absurdity method, filling and excavation method and undetermined coefficient method; Analysis method, comparison method, synthesis method, induction method, observation method, definition method, equal product method, vector method, analysis method, construction method, analogy method, scale method, derivative method, parameter method, elimination method, inequality method, discriminant method, combination of numbers and shapes, classification discussion method, mathematical induction method, separation parameter method, whole replacement method, etc.