By Philippe Loustaunau, William W. Adams

ISBN-10: 0821838040

ISBN-13: 9780821838044

Because the basic device for doing particular computations in polynomial earrings in lots of variables, Gröbner bases are a massive section of all laptop algebra structures. also they are very important in computational commutative algebra and algebraic geometry. This e-book offers a leisurely and reasonably entire creation to Gröbner bases and their purposes. Adams and Loustaunau hide the subsequent issues: the speculation and development of Gröbner bases for polynomials with coefficients in a box, functions of Gröbner bases to computational difficulties related to earrings of polynomials in lots of variables, a mode for computing syzygy modules and Gröbner bases in modules, and the idea of Gröbner bases for polynomials with coefficients in jewelry. With over a hundred and twenty labored out examples and two hundred workouts, this ebook is geared toward complex undergraduate and graduate scholars. it'd be appropriate as a complement to a path in commutative algebra or as a textbook for a direction in machine algebra or computational commutative algebra. This booklet could even be acceptable for college kids of machine technological know-how and engineering who've a few acquaintance with sleek algebra.