Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra /

Cox, David A.

Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra / David A. Cox, John Little, Donal O'Shea. - 3rd ed. - New York : Springer, ©2007. - xv, 551 pages : illustrations ; 25 cm - Undergraduate texts in mathematics . - Undergraduate texts in mathematics. .

Includes bibliographical references (pages 535-539) and index.

"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.


British Library not licensed to copy 0.

9780387356501 0387356509 9780387356518 0387356517 9781441922571 1441922571

9780387356501

2006930875

06,N32,0550 dnb

980490006 DE-101 014822719 Uk


Geometry, Algebraic--Data processing.
Commutative algebra--Data processing.

516.35 / C877i
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