Abstract: The nonlinear programming problems are important in mathematics applications.They are usually solved by various kinds of numerical methods.This will give solutions in the form of local extremal values but not necessarily global .optimal ones.The present paper shows how to solve the nonlinear programming problems by the MM-method(Mathematics-Mechanization method)or Wu's method.Wu's method s different from the numerical method in that the computations are symbolic instead of numerical ones.Theoretically it is based on computer algebra and algebraic geometry.The author uses the computer to get complete global solutions of some practical test problems in the nonlinear programming.The computations shows that Wu's mehtod is concise for solving the nonlinear programming problems,and is also quite efficient.

Key words: nonlinear programming, Mathematics Mechnization, Wu's Method characteristic set