Corrected 2nd printing, 2008. Laminated boards in decent, clean condition. Lower corner of rear board and spine bumped. Internally, all pages clean and bright, no marks or annotation, almost as new. Seller image provided. For further helpful synopsis and reviews try clicking on 'bookseller image'. Selling books since 1999, all proceeds help fund LOROS Charity Hospice.

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Bibliographic Details

Title: Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
Publisher: Springer
Publication Date: 2008
Language: English
ISBN 10: 0387356509
ISBN 13: 9780387356501
Binding: Hardcover
Edition: 3rd Edition
Condition: Very Good

About this title

Synopsis

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.

From the Back Cover

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated?

The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory.

The algorithms to answer questions such as those posed above are an important part of algebraic geometry. Although the algorithmic roots of algebraic geometry are old, it is only in the last forty years that computational methods have regained their earlier prominence. New algorithms, coupled with the power of fast computers, have led to both theoretical advances and interesting applications, for example in robotics and in geometric theorem proving.

In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes:

A significantly updated section on Maple in Appendix C

Updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR

A shorter proof of the Extension Theorem presented in Section 6 of Chapter 3

From the 2nd Edition:

"I consider the book to be wonderful. ... The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging ... offers the heart and soul of modern commutative and algebraic geometry." -The American Mathematical Monthly

"About this title" may belong to another edition of this title.

Store Description

LOROS Bookshop opened in the autumn of 1999, one of some 30 or so shops now, within Leicestershire and Rutland, all providing vital income for our wonderful Hospice, which gives much needed palliative care to our patients. We cater to book lovers of all ages and interests: locals, students, children, teachers, collectors, dealers. Our shop offers a wide variety of used books. The collection is being constantly updated with book donations given daily by our kind and appreciative supporters. The shop is carefully organised by subject area, and a subject finder and a diagram of the shop layout are provided to direct customers to the specific categories that are of interest to them. The shop is broadly zoned into five main categories, subdivided into the usual sub-categories: Collectables, Leisure Interest (Cookery, Gardening, Military History, Local History, Travel etc.,) Fiction (General, Literary, Crime/ Thriller, Sci-Fi/Fantasy/Horror) Academic (History, Humanities, Medical, Business, Sciences, Poetry, Classics etc.,) and Childrens. We have a bookcase of Graphic Novels ranging from �1 to more collectable editions. At the back of the shop is a small but unique and wonderful Children's 'Garden' bookroom, it is astro-turfed, with tree shaped bookshelves, and toadstool seats, holding a decent selection of modern and classic children's paperbacks, for young readers and teens, and reference books, covering all ages. Queens Road is situated just across the park from Leicester University, and has a pleasant alternative vibe, along with the usual mainstream outlets. Well worth a visit, for two other bookshops, a number of cool bars and cafes, computor repair and cake shops. We are conveniently flanked by a post office and Sainsbury's, and there are opticians, health shops, a jewellers, a pet supply shop and two chemists. LOROS also have an amazing and very popular Media Shop, 'Spiral Scratch', at number 63, for vinyl, cd, dvd, second hand hi-fi separates and musical instruments: guitars, keyboards, flutes, drums, as and when available. There is limited one hour parking on our side of the street and a few side roads with some restricted parking hours. Alternatively, why take a 20 minute stroll up pretty, historical New Walk, from the town centre, calling in at the fascinating New Walk Museum, or catch a 44 Arriva Bus from town or from the railway station on London Road, and be here in a matter of minutes!

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LOROS Enterprises
The Leicestershire & Rutland Hospice, Groby Road, Leicester, LE3 9QE, United Kingdom

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