Next: Introduction

A Bird's-Eye View of Gröbner Bases

André Heck
CAN Expertise Center, email: heck@can.nl

Abstract:

In this expository paper we give a short introduction to Gröbner basis theory and its main applications. Quite a few books ([17][11][3][1]) and overview articles ([27][20][8][7][2]) on Gröbner basis theory already exist. This one differs in style and in choice of examples. The style is concrete: examples illustrate the main techniques and the use of a computer algebra system, in our case Maple, is not shunned. Most examples are taken from the science literature and illustrate the Gröbner basis techniques on real applications.