Pub. Date:
American Mathematical Society
Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering

Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering


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Product Details

ISBN-13: 9780821826799
Publisher: American Mathematical Society
Publication date: 12/03/2001
Series: Contemporary Mathematics Series , #286
Pages: 240
Product dimensions: 6.90(w) x 9.90(h) x 0.50(d)

Table of Contents

Equations of parametric curves and surfaces via syzygies1
An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computation21
Numerical irreducible decomposition using projections from points on the components37
Counting stable solutions of sparse polynomial systems in chemistry53
Central configurations in the Newtonian N-body problem of celestial mechanics71
A power function approach to Kouchnirenko's conjecture99
Finiteness for arithmetic fewnomial systems107
Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systems115
Computing sparse projection operators121
Grobner bases of abelian matrix groups141
Lexicographic Grobner bases of 3-dimensional transportation problems145
Simplicial complexes and syzygies of lattice ideals169
Algorithmic determination of the rational cohomology of complex varieties via differential forms185
Differential algebras on semigroup algebras207
Noncommutative Grobner bases and Hochschild cohomology227

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