Computational Algebraic Geometry and Commutative Algebra (Symposia Mathematica, Series Number 34)

Eisenbud, David ; Robbiano, Lorenzo

ISBN 10: 0521442184 / ISBN 13: 9780521442183

Published by Cambridge University Press, 1993

About this Item

Hbk, x, 298 p : ill ; 24 cm. A clean unmarked copy in fine condition Contents : What can be computed in algegraic geometry? / Dave Bayer & David Mumford -- Open problems in computational algegraic geometry / David Eisenbud -- A computer assisted project: classification of algegras / Th. Dana-Picard & M. Schaps -- Systems of algegraic equations (algorithms and complexity) / D. Luzard -- Points in affine and projective spaces / Teo Mora & Lorenzo Robbiano -- Constructions in commutative algebra / Wolmer V. Vasconcelos -- Grobner bases and extensions of scalars / Dave Bayer, André Galligo & Mike Stillman -- La determination des point isoles et de la dimension d'une variete algebrique peut se faire en temps polynomial / Marc Guisti & Joos Heintz -- Arithmetically Cohen-Macaulay curves cut out by quadrics / Sheldon Katz -- Sparse elimination theory / Bernd Sturmfels [Geometry, Algebraic Data processing ; Congresses - Commutative algebra ; Congresses] w20 / m16525.

Seller Inventory # 016525

Bibliographic Details

• Title: Computational Algebraic Geometry and Commutative Algebra (Symposia Mathematica, Series Number 34)
• Publisher: Cambridge University Press
• Publication Date: 1993
• Language: English
• ISBN 10: 0521442184
• ISBN 13: 9780521442183
• Binding: Hardcover
• Condition: Fine

About this title

Synopsis

Computational methods are an established tool in algebraic geometry and commutative algebra, the key element being the theory of Gröbner bases. This book represents the state of the art in computational algebraic geometry and encapsulates many of the most interesting trends and developments in the field. There are two articles on open problems, orienting the reader to the subject's direction, four surveys describing the most interesting work, and four original research papers. There is also an introduction to the theory of Gröbner bases and their use in computation. Though the perspective of the book is mathematical, it does relate the abstract and the experimental tendencies in the field. Consequently, it will appeal to computer scientists interested in symbolic computation, robotics or Gröbner bases, as well as mathematicians interested in algebraic geometry, commutative algebra, or the classification of algebras.

Book Description

Computational methods are an established tool in algebraic geometry and commutative algebra, the key element being the theory of Gröbner bases. This book represents the state of the art in computational algebraic geometry and encapsulates many of the most interesting trends and developments in the field.