Appears in collection : An introduction of Gröbner basis and its Applications

Gröbner basis is a basic tool to solve polynomial equations in several variables. In this short course, we introduce the concept of Gröbner basis. We start with monomial ideals, monomial orderings and division algorithms. Next, we cover the Buchberger algorithm and Gröbner basis. In the application part, we provide applications of Gröbner basis in Graph coloring and integer programming.