Commutative Algebra, Singularities and Computer Algebra

Commutative Algebra, Singularities and Computer Algebra PDF Author: Jürgen Herzog
Publisher: Springer Science & Business Media
ISBN: 9400710925
Category : Mathematics
Languages : en
Pages : 277

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Book Description
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 PDF Author: Jürgen Herzog
Publisher: Springer Science & Business Media
ISBN: 9400710925
Category : Mathematics
Languages : en
Pages : 277

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Book Description
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 PDF Author: Jürgen Herzog
Publisher: Springer
ISBN: 9781402014864
Category : Mathematics
Languages : en
Pages : 0

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Book Description
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 PDF Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
ISBN: 3662049635
Category : Mathematics
Languages : en
Pages : 601

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Book Description
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 PDF Author: Wolfram Decker
Publisher: Springer
ISBN: 3319288296
Category : Mathematics
Languages : en
Pages : 389

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Book Description
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 PDF Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
ISBN: 9783540428978
Category : Computers
Languages : en
Pages : 640

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

Computational Commutative and Non-commutative Algebraic Geometry

Computational Commutative and Non-commutative Algebraic Geometry PDF Author: Svetlana Cojocaru
Publisher: IOS Press
ISBN: 1586035053
Category : Electronic books
Languages : en
Pages : 336

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Book Description


Singularities and Computer Algebra

Singularities and Computer Algebra PDF Author: Christoph Lossen
Publisher: Cambridge University Press
ISBN: 9780521683098
Category : Computers
Languages : en
Pages : 412

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

Introduction To Commutative Algebra

Introduction To Commutative Algebra PDF Author: Michael F. Atiyah
Publisher: CRC Press
ISBN: 0429973268
Category : Mathematics
Languages : en
Pages : 140

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Book Description
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 PDF Author: Wolfram Decker
Publisher: Springer Science & Business Media
ISBN: 3540289933
Category : Mathematics
Languages : en
Pages : 331

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Book Description
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.

Computations in Algebraic Geometry with Macaulay 2

Computations in Algebraic Geometry with Macaulay 2 PDF Author: David Eisenbud
Publisher: Springer Science & Business Media
ISBN: 9783540422303
Category : Mathematics
Languages : en
Pages : 354

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Book Description
This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.