Miscellaneous results on Gröbner-Bases for polynomial ideals II
| Author | : |
| Publisher | : |
| Total Pages | : 82 |
| Release | : 1982 |
| Genre | : |
| ISBN | : |
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Miscellaneous Results On Grobner Bases For Polynomial Ideals Ii PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Miscellaneous Results On Grobner Bases For Polynomial Ideals Ii PDF full book. Access full book title Miscellaneous Results On Grobner Bases For Polynomial Ideals Ii.
Solving Polynomial Equation Systems II
| Author | : Teo Mora |
| Publisher | : Cambridge University Press |
| Total Pages | : 792 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9780521811569 |
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This volume focuses on Buchberger theory and its application to the algorithmic view of commutative algebra. The presentation is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in its algorithmization.
The Structure of Polynomial Ideals and Grobner Bases
| Author | : T. Dube |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
| Author | : Teo Mora |
| Publisher | : Cambridge University Press |
| Total Pages | : 833 |
| Release | : 2016-04-01 |
| Genre | : Mathematics |
| ISBN | : 1316381382 |
Download Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond Book in PDF, ePub and Kindle
In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
The Structure of Polynomial Ideals and Grobner Bases
| Author | : T. Dube |
| Publisher | : |
| Total Pages | : 28 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
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Solving Polynomial Equation Systems
| Author | : Teo Mora |
| Publisher | : Cambridge University Press |
| Total Pages | : 833 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 1107109639 |
Download Solving Polynomial Equation Systems Book in PDF, ePub and Kindle
Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.
The Structure of Polynomial Ideals and Grobner Bases (Classic Reprint)
| Author | : T. Dube |
| Publisher | : |
| Total Pages | : 36 |
| Release | : 2015-08-05 |
| Genre | : Mathematics |
| ISBN | : 9781332201143 |
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Excerpt from The Structure of Polynomial Ideals and Grobner Bases The use of Grobner Bases is becoming increasingly important in algebraic computational geometry. As a result, there has been much activity in the recent years concerning the complexity of Buchberger's algorithm, and the degree of polynomials which it may produce. Bayer's thesis in 1982 provided the direction for recent research, and several recent papers have combined to show that the complexity of computing a Grobner Basis for a given ideal is double exponential in the number of variables. This paper introduces a new partitioning of a polynomial ideal. Using this partitioning, the sharpened degree bound can be obtained using only combinatorial arguments, and without the need to change coordinate systems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."
Multidimensional Systems Theory and Applications
| Author | : N.K. Bose |
| Publisher | : Springer |
| Total Pages | : 282 |
| Release | : 2013-12-20 |
| Genre | : Technology & Engineering |
| ISBN | : 9401702756 |
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The Second Edition of this book includes an abundance of examples to illustrate advanced concepts and brings out in a text book setting the algorithms for bivariate polynomial matrix factorization results that form the basis of two-dimensional systems theory. Algorithms and their implementation using symbolic algebra are emphasized.
Algorithms for Computer Algebra
| Author | : Keith O. Geddes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 594 |
| Release | : 2007-06-30 |
| Genre | : Computers |
| ISBN | : 0585332479 |
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Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.
7th International Conference on Automated Deduction
| Author | : R. E. Shostak |
| Publisher | : Springer |
| Total Pages | : 517 |
| Release | : 2011-05-09 |
| Genre | : Mathematics |
| ISBN | : 0387347682 |
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The Seventh International Conference on Automated Deduction was held May 14-16, 19S4, in Napa, California. The conference is the primary forum for reporting research in all aspects of automated deduction, including the design, implementation, and applications of theorem-proving systems, knowledge representation and retrieval, program verification, logic programming, formal specification, program synthesis, and related areas. The presented papers include 27 selected by the program committee, an invited keynote address by Jorg Siekmann, and an invited banquet address by Patrick Suppes. Contributions were presented by authors from Canada, France, Spain, the United Kingdom , the United States, and West Germany. The first conference in this series was held a decade earlier in Argonne, Illinois. Following the Argonne conference were meetings in Oberwolfach, West Germany (1976), Cambridge, Massachusetts (1977), Austin, Texas (1979), Les Arcs, France (19S0), and New York, New York (19S2). Program Committee P. Andrews (CMU) W.W. Bledsoe (U. Texas) past chairman L. Henschen (Northwestern) G. Huet (INRIA) D. Loveland (Duke) past chairman R. Milner (Edinburgh) R. Overbeek (Argonne) T. Pietrzykowski (Acadia) D. Plaisted (U. Illinois) V. Pratt (Stanford) R. Shostak (SRI) chairman J. Siekmann (U. Kaiserslautern) R. Waldinger (SRI) Local Arrangements R. Schwartz (SRI) iv CONTENTS Monday Morning Universal Unification (Keynote Address) Jorg H. Siekmann (FRG) .
