Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

David A. Cox, John Little, Donal Oshea (Autoren)

Buch | Softcover

553 Seiten

2010 | Softcover reprint of hardcover 3rd ed. 2007
Springer-Verlag New York Inc.
978-1-4419-2257-1 (ISBN)

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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, Algebra, and Algorithms.- Groebner Bases.- Elimination Theory.- The Algebra–Geometry Dictionary.- Polynomial and Rational Functions on a Variety.- Robotics and Automatic Geometric Theorem Proving.- Invariant Theory of Finite Groups.- Projective Algebraic Geometry.- The Dimension of a Variety.

Erscheint lt. Verlag	25.11.2010
Reihe/Serie	Undergraduate Texts in Mathematics
Zusatzinfo	XV, 553 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 234 mm
Gewicht	866 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4419-2257-1 / 1441922571
ISBN-13	978-1-4419-2257-1 / 9781441922571
Zustand	Neuware