Solving Polynomial Equation Systems Iv: Volume 4, Buchberger Theory - and Beyon

Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.

List of contents

Part VII. Beyond: 46. Zacharias; 47. Bergman; 48. Ufnarovski; 49. Weispfenning; 50. Spear2; 51. Weispfenning II; 52. Sweedler; 53. Hironaka; 54. Hironaka II; 55. Janet; 56. Macaulay V; 57. Gerdt and Faugère; Bibliography; Index.

About the author

Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.

Summary

In this fourth and final volume the author covers extensions of Buchberger's Algorithm, including a discussion of the most promising recent alternatives to Gröbner bases: Gerdt's involutive bases and Faugère's F4 and F5 algorithms. This completes the author's comprehensive treatise, which is a fundamental reference for any mathematical library.

Product details

• Authors: Teo Mora, Teo (University of Genoa) Mora, Mora Teo
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 01.04.2016
• EAN: 9781107109636
• ISBN: 978-1-107-10963-6
• No. of pages: 834
• Series: Encyclopedia of Mathematics and Its Applications; Encyclopedia of Mathematics an; Encyclopedia of Mathematics and its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General