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Commutative Algebra Singularities And Computer Algebra


Commutative Algebra Singularities And Computer Algebra
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Commutative Algebra Singularities And Computer Algebra


Commutative Algebra Singularities And Computer Algebra
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Author : Jürgen Herzog
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Commutative Algebra Singularities And Computer Algebra written by Jürgen Herzog 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.


Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002



Commutative Algebra Singularities And Computer Algebra


Commutative Algebra Singularities And Computer Algebra
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Author : Jürgen Herzog
language : en
Publisher: Springer
Release Date : 2003-10-31

Commutative Algebra Singularities And Computer Algebra written by Jürgen Herzog and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-31 with Mathematics categories.


Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002



Singularities And Computer Algebra


Singularities And Computer Algebra
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Author : Christoph Lossen
language : en
Publisher: Cambridge University Press
Release Date : 2006-04-06

Singularities And Computer Algebra written by Christoph Lossen 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 2006-04-06 with Computers categories.


A collection of articles giving overviews and open questions in singularities and their computational aspects.



A Singular Introduction To Commutative Algebra


A Singular Introduction To Commutative Algebra
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Author : Gert-Martin Greuel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-05

A Singular Introduction To Commutative Algebra written by Gert-Martin Greuel 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 2007-11-05 with Mathematics categories.


This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. This is the first handbook/tutorial to extensively deal with SINGULAR. Among the book’s most distinctive features is a new, completely unified treatment of the global and local theories. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.



A Singular Introduction To Commutative Algebra


A Singular Introduction To Commutative Algebra
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Author : Gert-Martin Greuel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A Singular Introduction To Commutative Algebra written by Gert-Martin Greuel 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.


In theory there is no difference between theory and practice. In practice there is. Yogi Berra A SINGULAR Introduction to Commutative Algebra offers a rigorous intro duction to commutative algebra and, at the same time, provides algorithms and computational practice. In this book, we do not separate the theoretical and the computational part. Coincidentally, as new concepts are introduced, it is consequently shown, by means of concrete examples and general proce dures, how these concepts are handled by a computer. We believe that this combination of theory and practice will provide not only a fast way to enter a rather abstract field but also a better understanding of the theory, showing concurrently how the theory can be applied. We exemplify the computational part by using the computer algebra sys tem SINGULAR, a system for polynomial computations, which was developed in order to support mathematical research in commutative algebra, algebraic geometry and singularity theory. As the restriction to a specific system is necessary for such an exposition, the book should be useful also for users of other systems (such as Macaulay2 and CoCoA) with similar goals. Indeed, once the algorithms and the method of their application in one system is known, it is usually not difficult to transfer them to another system.



Singularities Algebraic Geometry Commutative Algebra And Related Topics


Singularities Algebraic Geometry Commutative Algebra And Related Topics
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Author : Gert-Martin Greuel
language : en
Publisher: Springer
Release Date : 2018-09-18

Singularities Algebraic Geometry Commutative Algebra And Related Topics written by Gert-Martin Greuel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-18 with Mathematics categories.


This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.



Commutative Algebra


Commutative Algebra
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Author : Marco Fontana
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-29

Commutative Algebra written by Marco Fontana 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 2010-09-29 with Mathematics categories.


Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.



Computer Algebra In Scientific Computing


Computer Algebra In Scientific Computing
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Author : V.G. Ganzha
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-12

Computer Algebra In Scientific Computing written by V.G. Ganzha 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 2006-09-12 with Computers categories.


This book constitutes the refereed proceedings of the 9th International Workshop on Computer Algebra in Scientific Computing, CASC 2006. The book presents 25 revised full papers together with 2 invited papers, covering various expanding applications of computer algebra to scientific computing, the computer algebra systems themselves, and the CA algorithms. Topics addressed are studies in Gröbner bases, polynomial algebra, homological algebra, quantifier elimination, celestial mechanics, and more.



Computations And Combinatorics In Commutative Algebra


Computations And Combinatorics In Commutative Algebra
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Author : Anna M. Bigatti
language : en
Publisher: Springer
Release Date : 2017-03-14

Computations And Combinatorics In Commutative Algebra written by Anna M. Bigatti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-14 with Mathematics categories.


Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations. "Computations and Combinatorics in Commutative Algebra" has been written by experts in both theoretical and computational aspects of these three subjects and is aimed at a broad audience, from experienced researchers who want to have an easy but deep review of the topics covered to postgraduate students who need a quick introduction to the techniques. The computational treatment of the material, including plenty of examples and code, will be useful for a wide range of professionals interested in the connections between commutative algebra and combinatorics.



Computing In Algebraic Geometry


Computing In Algebraic Geometry
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Author : Wolfram Decker
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-02

Computing In Algebraic Geometry written by Wolfram Decker 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 2006-03-02 with Mathematics categories.


This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way.