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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra Softcover reprint of hardcover 3rd ed. 2007 [Pehme köide]

4.41/5 (61 hinnangut Goodreads-ist)
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  • Formaat: Paperback / softback, 553 pages, kõrgus x laius: 234x155 mm, kaal: 866 g, XV, 553 p., 1 Paperback / softback
  • Sari: Undergraduate Texts in Mathematics
  • Ilmumisaeg: 25-Nov-2010
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 1441922571
  • ISBN-13: 9781441922571
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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra Softcover reprint of hardcover 3rd ed. 2007Suurem pilt
  • Formaat: Paperback / softback, 553 pages, kõrgus x laius: 234x155 mm, kaal: 866 g, XV, 553 p., 1 Paperback / softback
  • Sari: Undergraduate Texts in Mathematics
  • Ilmumisaeg: 25-Nov-2010
  • Kirjastus: Springer-Verlag New York Inc.
  • ISBN-10: 1441922571
  • ISBN-13: 9781441922571
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781441922571.html
Märksõnad:

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.



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.

Arvustused

From the reviews of the third edition:









"The book gives an introduction to Buchbergers algorithm with applications to syzygies, Hilbert polynomials, primary decompositions. There is an introduction to classical algebraic geometry with applications to the ideal membership problem, solving polynomial equations, and elimination theory. The book is well-written. The reviewer is sure that it will be a excellent guide to introduce further undergraduates in the algorithmic aspect of commutative algebra and algebraic geometry." (Peter Schenzel, Zentralblatt MATH, Vol. 1118 (20), 2007)

Muu info

Third edition
Geometry, Algebra, and Algorithms.- Groebner Bases.- Elimination
Theory.- The AlgebraGeometry 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.