Using Algebraic Geometry

Springer, Mar 9, 2005 - Computers - 572 pages

In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules. For this new edition the authors added two new sections and a new chapter, updated the references and made numerous minor improvements throughout the text.

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References from web pages

Example from: D. Cox, J. Little, D. O’Shea, Using algebraic ...
Example from: D. Cox, J. Little, D. O’Shea, Using algebraic Geometry, pp.187 (Chapter 5.1, Excerci-. se 27). > restart;. > with(quillensuslin): ...
wwwb.math.rwth-aachen.de/ QuillenSuslin/ LibraryOfExamples/ CoxLittleOShea5.1.27.pdf

Using Algebraic Geometry
The Maple code for the first edition of Using Algebraic Geometry was written for Releases 3 and 4 of Maple V. Some of the code in the text uses commands ...
www.cs.amherst.edu/ ~dac/ uag.html

Algebraic Geometry
... J. Little, D. O'Shea, Ideals, Varieties and Algorithms; D. Cox, J. Little, D. O'Shea , Using Algebraic Geometry; D. Eisenbud, Commutative Algebra ...
www.math.purdue.edu/ ~dvb/ algeom.html

Gröbner Bases Bibliography
Title, Using Algebraic Geometry. Author(s), David A. Cox, John B. Little, Donal O'Shea. Type, Book, Chapter in Book, Conference Proceeding ...
www.ricam.oeaw.ac.at/ Groebner-Bases-Bibliography/ details.php?details_id=448

Math 201 - Calculus I
D. Cox, J. Little, D. O’Shea, Using Algebraic Geometry, Springer, New York, 1998. J. van Lint and G. van der Geer, Introduction to Coding Theory and ...
www3.wittenberg.edu/ aparker/ classes/ 380spring2008.doc

Recent Publications
(with D. Cox and D. O'Shea), Using Algebraic Geometry, Graduate Texts in Mathematics, v. 185. New York: Springer-Verlag, 1998. ...
mathcs.holycross.edu/ ~little/ Pubs.html

Ideals, Varieties, and Algorithms / An Introduction to ...
Cox David A., Little John, O Shea Donal Using Algebraic Geometry ... Название: Using Algebraic Geometry ISBN: 0387207066 ISBN-13(EAN): 9780387207063 ...
www.logobook.ru/ prod_show.php?object_uid=11158240

Tableaux recapitulatifs
D. Cox, J. Little and D. O’Shea, Using Algebraic Geometry, Springer GTM, 1998. C. D’Andrea & A. Dickenstein, Explicit Formulas for the Multivariate ...
mate.dm.uba.ar/ ~alidick/ cimpa/ cours.pdf

5385 Project
Cox, Little and O'Shea, "Using Algebraic Geometry", Chapter 2, sections 2 and 4. 2. Factorization. Find out how computer algebra systems are able to factor ...
www.math.umn.edu/ ~rick/ course/ 5385.project.html

Библиотека научной литературы: книги, журналы, статьи ...
Library:m_mathematics/ma_algebra/maco_computational algebra/Cox D., Little J., O'Shea D. Using algebraic geometry (1ed., GTM185, Springer, ...
lib.org.by/ info/ M_Mathematics/ MA_Algebra/ MAco_Computational%20algebra/ Cox%20D.,%20Little%20J.,%20O'Shea%20D.%20Using...

About the author (2005)

DAVID A. COX is a professor of mathematics at Amherst College. He pursued his undergraduate studies at Rice University and earned his PhD from Princeton in 1975. The main focus of his research is algebraic geometry, though he also has interests in number theory and the history of mathematics. He is the author of Primes of the Form x2 + ny2, published by Wiley, as well as books on computational algebraic geometry and mirror symmetry.

Little of the College of the Holly Cross, Worcester, MA

Donal O'Shea is a professor of mathematics and the dean of faculty and vice president for academic affairs of Mount Holyoke College in Massachusetts. This is his first book for a general audience. He lives in South Hadley, Massachusetts.

Bibliographic information

Title	Using Algebraic Geometry Volume 185 of Graduate Texts in Mathematics, ISSN 0072-5285
Authors	David A. Cox, John Little, Donal O'Shea
Edition	2, illustrated
Publisher	Springer, 2005
ISBN	0387207066, 9780387207063
Length	572 pages
Subjects	Computers › Programming › Algorithms Computers / Data Processing Computers / Programming / Algorithms Mathematics / Geometry / Algebraic

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