Ideals, varieties, and algorithms
Subtitle: an introduction to computational algebraic geometry and commutative algebra
By: David A. Cox, John Little, Donal O'Shea.
Contributors: Little, John B.; O'Shea, Donal.
Edition: 3rd ed.
Series: Undergraduate texts in mathematics
Publisher: Springer
Published: 2007
Place of publication: New York
Language: eng
Number of pages: 551
ISBN-13: 9780387356501; 9780387356518
Subjects: Geometry, Algebraic -- Data processing; Commutative algebra -- Data processing
Description: "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."--Jacket.
Notes: Includes bibliographical references (p. 535-539) and index.