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Commutative Algebra, Singularities and Computer Algebra

Commutative Algebra, Singularities and Computer Algebra
Author: Jürgen Herzog
Publisher: Springer Science & Business Media
Total Pages: 277
Release: 2012-12-06
Genre: Mathematics
ISBN: 9400710925

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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
Author: Jürgen Herzog
Publisher: Springer
Total Pages: 0
Release: 2003-10-31
Genre: Mathematics
ISBN: 9781402014864

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


A Singular Introduction to Commutative Algebra

A Singular Introduction to Commutative Algebra
Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
Total Pages: 601
Release: 2012-12-06
Genre: Mathematics
ISBN: 3662049635

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This book can be understood as a model for teaching commutative algebra, and takes into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, the authors show how the concept can be worked on using a computer. The computations are exemplified with the computer algebra system Singular, developed by the authors. Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book includes a CD containing Singular as well as the examples and procedures explained in the book.


Singularities and Computer Algebra

Singularities and Computer Algebra
Author: Wolfram Decker
Publisher: Springer
Total Pages: 389
Release: 2017-03-29
Genre: Mathematics
ISBN: 3319288296

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This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra.Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists.The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.


A Singular Introduction to Commutative Algebra

A Singular Introduction to Commutative Algebra
Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
Total Pages: 640
Release: 2002
Genre: Computers
ISBN: 9783540428978

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CD-ROM contains: "a version of Singular for various platforms (Unix/Linux, Windows, Macintosh:, including all examples and procedures explained in the book."


Singularities and Computer Algebra

Singularities and Computer Algebra
Author: Christoph Lossen
Publisher: Cambridge University Press
Total Pages: 412
Release: 2006-04-06
Genre: Computers
ISBN: 9780521683098

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


Introduction To Commutative Algebra

Introduction To Commutative Algebra
Author: Michael F. Atiyah
Publisher: CRC Press
Total Pages: 140
Release: 2018-03-09
Genre: Mathematics
ISBN: 0429973268

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First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.


Computing in Algebraic Geometry

Computing in Algebraic Geometry
Author: Wolfram Decker
Publisher: Springer Science & Business Media
Total Pages: 331
Release: 2006-03-02
Genre: Mathematics
ISBN: 3540289925

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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.