Computing in Algebraic Geometry

A Quick Start using SINGULAR

By: Wolfram Decker, Christoph Lossen

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Hardcover | 2 March 2006

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Hardcover
344 Pages

Dimensions(cm)
22.86 x 15.24 x 2.54

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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.

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"Algebraic geometry generally studies the properties of solution sets of systems of polynomial equations without direct reference to the actual polynomials used in these systems. ... This is especially desirable for classwork where the development of the abstract machinery generally outlasts the patience of the students, except possibly the most motivated ones. ... However, the book can ... be used in an introductory algebraic geometry course where the students will have the advantage of experimenting with examples as their knowledge grows." (A. Sinan Sertoez, Mathematical Reviews, Issue 2007 b)

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You Can Find This Book In

Non-Fiction Mathematics Geometry Algebraic Geometry Computing & I.T.Computer Science Algebra Business Applications Mathematical & Statistical Software Computer Programming & Software Development Algorithms & Data Structures Databases

Data Capture & Analysis Applied Mathematics

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Paperback

Published: 12th February 2010

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Introductory remarks on computer algebra	p. 1
Basic notations and ideas : a historical account	p. 11
Basic computational problems and their solution	p. 37
An introduction to SINGULAR	p. 63
Homological algebra I	p. 129
Homological algebra II	p. 145
Solving systems of polynomial equations	p. 169
Primary decomposition and normalization	p. 201
Algorithms and invariant theory	p. 219
Computing in local rings	p. 235
Sheaf cohomology and Beilinson monads	p. 273
Table of Contents provided by Blackwell. All Rights Reserved.

Computing in Algebraic Geometry

A Quick Start using SINGULAR

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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