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Gr Bner Bases And Applications


Gr Bner Bases And Applications
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Gr Bner Bases And Applications


Gr Bner Bases And Applications
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Author : Bruno Buchberger
language : en
Publisher: Cambridge University Press
Release Date : 1998-02-26

Gr Bner Bases And Applications written by Bruno Buchberger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-26 with Mathematics categories.


Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.



An Introduction To Grobner Bases


An Introduction To Grobner Bases
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Author : William W. Adams and Philippe Loustaunau
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-07-21

An Introduction To Grobner Bases written by William W. Adams and Philippe Loustaunau and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-21 with Mathematics categories.


A very carefully crafted introduction to the theory and some of the applications of Grobner bases ... contains a wealth of illustrative examples and a wide variety of useful exercises, the discussion is everywhere well-motivated, and further developments and important issues are well sign-posted ... has many solid virtues and is an ideal text for beginners in the subject ... certainly an excellent text. --Bulletin of the London Mathematical Society As the primary tool for doing explicit computations in polynomial rings in many variables, Grobner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Grobner bases and their applications. Adams and Loustaunau cover the following topics: the theory and construction of Grobner bases for polynomials with coefficients in a field, applications of Grobner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Grobner bases in modules, and the theory of Grobner bases for polynomials with coefficients in rings. With over 120 worked-out examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.



An Introduction To Gr Bner Bases


An Introduction To Gr Bner Bases
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Author : William W. Adams
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-25

An Introduction To Gr Bner Bases written by William W. Adams and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-25 with Mathematics categories.


A very carefully crafted introduction to the theory and some of the applications of Gröbner bases … contains a wealth of illustrative examples and a wide variety of useful exercises, the discussion is everywhere well-motivated, and further developments and important issues are well sign-posted … has many solid virtues and is an ideal text for beginners in the subject … certainly an excellent text. —Bulletin of the London Mathematical Society As the primary tool for doing explicit computations in polynomial rings in many variables, Gröbner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Gröbner bases and their applications. Adams and Loustaunau cover the following topics: the theory and construction of Gröbner bases for polynomials with coefficients in a field, applications of Gröbner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Gröbner bases in modules, and the theory of Gröbner bases for polynomials with coefficients in rings. With over 120 worked-out examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.



Multidimensional Systems Theory And Applications


Multidimensional Systems Theory And Applications
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Author : N.K. Bose
language : en
Publisher: Springer
Release Date : 2013-12-20

Multidimensional Systems Theory And Applications written by N.K. Bose and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Technology & Engineering categories.


Preface to Second Edition From the time that the original edition was published in 1985, multidimensional systems theory has matured into a discipline of research and teaching with an expanding array of applications. The international journal on Multidimensional Systems and Signal Processing, founded in 1990, is now in its fourteenth year. A biannual international workshop on n-D systems was launched in 1998 and the impressive number of special sessions, mini-symposia, monographs and special issues that have emerged bear testimony to the growing popularity and importance of the subject -matter among scientists in various disciplines including engineering, computer science, geophysics and mathematics. This second edition builds on the fundamentals expounded in the original book with the addition of important developments in theory as well as practice since 1985. Particular attention has been given to the consolidation of basic results, uni fication of theory and the diversification of applications. Chapters that remain have been reordered and updated in content and references. Some chapters, considered to be somewhat outdated, have been replaced with newer proven as well as poten tially significant results, inspired by some groundbreaking research and directions which are likely to stimulate further research. In addition to the description of some challenging open problems, posed in 1985, which have since been solved, new problems yet to be tackled are also included.



Gr Bner Bases In Control Theory And Signal Processing


Gr Bner Bases In Control Theory And Signal Processing
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Author : Hyungju Park
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

Gr Bner Bases In Control Theory And Signal Processing written by Hyungju Park and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.


This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.



Gr Bner Bases


Gr Bner Bases
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Author : Thomas Becker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Gr Bner Bases written by Thomas Becker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word "algorithm" as well as the key word "algebra" in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek istan and worked in Baghdad at the court of Harun al-Rashid's son. The word "algorithm" is actually a westernization of al-Khowarizmi's name, while "algebra" derives from "al-jabr," a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method.



Grobner Bases In Commutative Algebra


Grobner Bases In Commutative Algebra
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Author : Viviana Ene
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-12-01

Grobner Bases In Commutative Algebra written by Viviana Ene and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with Mathematics categories.


This book provides a concise yet comprehensive and self-contained introduction to Grobner basis theory and its applications to various current research topics in commutative algebra. It especially aims to help young researchers become acquainted with fundamental tools and techniques related to Grobner bases which are used in commutative algebra and to arouse their interest in exploring further topics such as toric rings, Koszul and Rees algebras, determinantal ideal theory, binomial edge ideals, and their applications to statistics. The book can be used for graduate courses and self-study. More than 100 problems will help the readers to better understand the main theoretical results and will inspire them to further investigate the topics studied in this book.



Grobner Bases For 0 Dimensional Ideals And Applications To Decoding


Grobner Bases For 0 Dimensional Ideals And Applications To Decoding
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Author : Ivelisse María Rubio
language : en
Publisher:
Release Date : 1998

Grobner Bases For 0 Dimensional Ideals And Applications To Decoding written by Ivelisse María Rubio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.




An Introduction To Gr Bner Bases


An Introduction To Gr Bner Bases
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Author : Ralf Fröberg
language : en
Publisher: John Wiley & Sons
Release Date : 1997-10-07

An Introduction To Gr Bner Bases written by Ralf Fröberg and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-07 with Mathematics categories.


As algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Gröbner Bases is one topic which has recently become a very popular and important area of modern algebra. This book provides a concrete introduction to commutative algebra through Gröbner Bases. The inclusion of exercises, lists of further reading and related literature make this a practical approach to introducing Gröbner Bases. The author presents new concepts and results of recent research in the area allowing students and researchers in technology, computer science and mathematics to gain a basic understanding of the technique. A first course in algebra is the only prior knowledge required for this introduction. Chapter titles include: * Monomial ldeas * Gröbner Bases * Algebraic Sets * Solving Systems of Polynomial Equations * Applications of Gröbner Bases * Homogeneous Algebra * Hilbert Series * Variations of Gröbner Bases * Improvements to Buchberger's Algorithms * Software



Artificial Intelligence And Symbolic Mathematical Computing


Artificial Intelligence And Symbolic Mathematical Computing
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Author : Jacques Calmet
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-10-05

Artificial Intelligence And Symbolic Mathematical Computing written by Jacques Calmet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-05 with Computers categories.


This volume contains the papers, updated in some cases, presented at the first AISMC (Artificial Intelligence and Symbolic Mathematical Computations)conference, held in Karlsruhe, August 3-6, 1992. This was the first conference to be devoted to such a topic after a long period when SMC made no appearance in AI conferences, though it used to be welcome in the early days of AI. Some conferences were held recently on mathematics and AI, but none was directly comparable in scope to this conference. Because of the novelty of the domain, authors were given longer allocations of time than usual in which to present their work. As a result, extended and fruitful discussions followed each paper. The introductory chapter in this book, which was not presented during the conference, reflects in many ways the flavor of these discussions and aims to set out the framework for future activities in this domain of research. In addition to the introduction, the volume contains 20 papers.