Comprehensive account of theory and applications of Gr?bner bases, co-edited by the subject's inventor.The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved. The method is now available in all major mathematical software systems. This book provides a short and easy-to-read introduction to the theory of Gröbner bases and its applications. It is in two parts, the first consisting of tutorial lectures. In the second part are 17 original papers on Gröbner bases. An appendix contains the English translations of the original German papers of Bruno Buchberger in which Gröbner bases were introduced.The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved. The method is now available in all major mathematical software systems. This book provides a short and easy-to-read introduction to the theory of Gröbner bases and its applications. It is in two parts, the first consisting of tutorial lectures. In the second part are 17 original papers on Gröbner bases. An appendix contains the English translations of the original German papers of Bruno Buchberger in which Gröbner bases were introduced.The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all major mathematical software systems. This book provides a short and easy-to-read account of the theory of Gröbner bases and its applications. It is in two parts, the first consisting of tutorial lectures, beginning with a general introduction. The subject is then developed in a further twelve tutorials, written by lelS’