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

Author: David R Cox; John Little; Donal O'Shea
Publisher: New York : Springer, 2007.
Series: Undergraduate texts in mathematics
Edition/Format:   Print book : German : 3. edView all editions and formats
Summary:

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. It  Read more...

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Details

Document Type: Book
All Authors / Contributors: David R Cox; John Little; Donal O'Shea
ISBN: 9780387946801 0387946802
OCLC Number: 180113703
Description: VII, 540 Seiten : Illustrationen, Diagramme ; 25 cm.
Contents: 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.- Some Concepts from Algebra.- Pseudocode.- Computer Algebra Systems.- Independent Projects.
Series Title: Undergraduate texts in mathematics
Responsibility: David Cox ; John Little ; Donal O'Shea.
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"I consider the book to be wonderful...The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging...offers the heart and Read more...

 
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