Gröbner bases and applications
By: edited by B. Buchberger & F. Winkler.
Contributors: Buchberger, Bruno.; Winkler, Franz, 1955-
Series: London Mathematical Society lecture note series ;; 251
Publisher: Cambridge University Press
Published: 1998
Place of publication: Cambridge, U.K; New York
Language: eng
Number of pages: 552
Subjects: Gröbner bases.
Description: 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 leading experts, on the application of Gröbner bases in various fields of mathematics. In the second part are seventeen original research papers on Gröbner bases. An appendix contains the English translations of the original German papers of Bruno Buchberger in which Gröbner bases were introduced.
Notes: Includes bibliographical references and index.
Papers from an intensive course for researchers (Jan. 1998) and a conference "33 Years of Gröbner Bases" held at RISC-Linz, Feb. 2-4, 1998.