The integration and interaction of Mathematical Reason,Logical Reason and Experimental Reason rooted in Greek culture gave birth at the beginning of modern era to such methods as method of experiment mathematics,method of scientific induction and method of intuition deduction,which are the underpinning of modern scientific methods.

Inclusion and exclusion principle proved with mathematical induction;

Application of Mathematical Induction to the Mathematical Programming

This paper pre-sented two general expressions and the property of generalized Fibonacci sequence Rn+1=uRn+vRn-1,R0=a,R1=b by using the mathematical induction method and seeking the root of characteristic equation.

The Error-Analysis and Teaching Strategy in Teaching Induction for Senior High School Students;

In this paper, by using the method of analogue to treat a special determinant, we come to a general conclusion, which has been proved correct by induction.

Based on analysis of a typical case in teaching course of recursion,the thesis explains recursion through mathematic induction,the new way of teaching produces a good effect.

With the use of the minimum nature the paper comments the reasonableness and the mutual relation of dependence in Condition one and Two of mathematic induction.