Ideals, Varieties, And Algorithms: An Introduction to Computational Algebraic Geometry And Commutative Algebra
David A. Cox, John Little et Donal O'Shea
Language: English
Published by Springer-Verlag New York Inc., 2007
- Hardcover
- Used
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Edition 2007. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Edition 2007. Ammareal gives back up to 15% of this item's net price to charity organizations.
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- Title
- Ideals, Varieties, And Algorithms: An Introduction to Computational Algebraic Geometry And Commutative Algebra
- Author
- David A. Cox, John Little et Donal O'Shea
- Publisher
- Springer-Verlag New York Inc.
- Publication year
- 2007
- Condition
- Très bon
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387356509
- ISBN 13
- 9780387356501
- Edition
- 3rd Edition
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.
"Synopsis" may belong to another edition of this title.
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 ofIdeals, 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 the title" may belong to another edition of this title.
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English below. Ammareal est une librairie professionnelle spécialisée dans le livre d’occasion. Nous expédions partout dans le monde. Nous avons plus de 250 000 ouvrages en stock dont un grand nombre de livres techniques et académiques. Nous reversons jusqu’à 15% du prix de vente de chaque livre à des organisations caritatives, des bibliothèques et des associations luttant contre l’illettrisme. Ce que nous ne vendons pas nous le donnons, ce que nous ne donnons pas nous le recyclons. Ammareal is a professional bookseller speciliazed in used books. We ship worldwide. We have more than 250 000 books in stock, including a large number of technical and university-level books. We give back up to 15% of the price of each book to charities, libraries and organizations fighting in favor of literacy. What we do not sell, we give, what we do not give we recycle.…
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Ammareal is a professional bookseller speciliazed in used books. We ship worldwide. We have more than 250 000 books in stock, including a large number of technical and university-level books. We give back up to 15% of the price of each book to charities, libraries and organizations fighting in favor of literacy. What we do not sell, we give, what we do not give we recycle.
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