TY  - BOOK
AU  - Green,Edward L.
AU  - Hoşten,Serkan
AU  - Laubenbacher,Reinhard C.
AU  - Powers,Victoria Ann
TI  - Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering
T2  - Contemporary Mathematics
SN  - 9780821878767
AV  - QA155.7.E4 -- A58 2000eb 
U1  - 512/.0285 
PY  - 2001///
CY  - Providence
PB  - American Mathematical Society
KW  - Algebra -- Data processing -- Congresses
KW  - Equations -- Numerical solutions -- Data processing -- Congresses
KW  - Electronic books
N1  - Intro -- Contents -- Preface -- Equations of parametric curves and surfaces via syzygies -- An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computation -- Numerical irreducible decomposition using projections from points on the components -- Counting stable solutions of sparse polynomial systems in chemistry -- Central configurations in the Newtonian N-body problem of celestial mechanics -- A power function approach to Kouchnirenko's conjecture -- Finiteness for arithmetic fewnomial systems -- Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systems -- Computing sparse projection operators -- Gröbner bases of abelian matrix groups -- Lexicographic Gröbner bases of 3-dimensional transportation problems -- Simplicial complexes and syzygies of lattice ideals -- Algorithmic determination of the rational cohomology of complex varieties via differential forms -- 1. Introduction -- 2. Review of the affine case -- 3. Chern classes in projective space -- 4. Open sets in projective space -- 5. An example -- 6. Closed and locally closed subsets -- 7. Toric varieties -- References -- Differential algebras on semigroup algebras -- Noncommutative Gröbner bases and Hochschild cohomology
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112940
ER  -