Cox, David A. creator Little, John. O'Shea, Donal. text S.l.] Springer 2008 3rd ed. monographic 553 p. ; 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. Geometry, Algebraic Commutative algebra Commutative algebra Logic, Symbolic and mathematical Data processing Mathematics Computer software Algebra Geometry, Algebraic 0387356509 (hardcover) 9780387356501 (hardcover) http://www.amazon.com/exec/obidos/ASIN/0387356509/chopaconline-20 http://www.amazon.com/exec/obidos/ASIN/0387356509/chopaconline-20