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

Edited by: Edward L. Green Virginia Polytechnic Institute and State University, Blacksburg, VA
Serkan Hoşten San Francisco State University, San Francisco, CA
Reinhard C. Laubenbacher New Mexico State University, Las Cruces, NM
Victoria Ann Powers Emory University, Atlanta, GA
Available Formats:
Electronic ISBN: 978-0-8218-7876-7
Product Code: CONM/286.E
List Price: $72.00 MAA Member Price:$64.80
AMS Member Price: $57.60 Click above image for expanded view Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering Edited by: Edward L. Green Virginia Polytechnic Institute and State University, Blacksburg, VA Serkan Hoşten San Francisco State University, San Francisco, CA Reinhard C. Laubenbacher New Mexico State University, Las Cruces, NM Victoria Ann Powers Emory University, Atlanta, GA Available Formats:  Electronic ISBN: 978-0-8218-7876-7 Product Code: CONM/286.E  List Price:$72.00 MAA Member Price: $64.80 AMS Member Price:$57.60
• Book Details

Contemporary Mathematics
Volume: 2862001; 240 pp
MSC: Primary 68; 12; 14; 13; 11;

This volume contains papers related to the research conference, “Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering,” held at Mount Holyoke College (MA). It provides a broad range of active research areas in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop the theoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.

Graduate students and research mathematicians interested in symbolic computation, applied mathematics, and engineering.

• Articles
• David A. Cox - Equations of parametric curves and surfaces via syzygies [ MR 1874268 ]
• Gema M. Díaz-Toca and Laureano González-Vega - An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computations [ MR 1874269 ]
• Andrew J. Sommese, Jan Verschelde and Charles W. Wampler - Numerical irreducible decomposition using projections from points on the components [ MR 1874270 ]
• Karin Gatermann - Counting stable solutions of sparse polynomial systems in chemistry [ MR 1874271 ]
• Ilias S. Kotsireas - Central configurations in the Newtonian $N$-body problem of celestial mechanics [ MR 1874272 ]
• Domenico Napoletani - A power function approach to Kouchnirenko’s conjecture [ MR 1874273 ]
• J. Maurice Rojas - Finiteness for arithmetic fewnomial systems [ MR 1874274 ]
• Dima Grigoriev - Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systems [ MR 1874275 ]
• Carlos D’Andrea and Ioannis Z. Emiris - Computing sparse projection operators [ MR 1874276 ]
• Bernd Sturmfels - Gröbner bases of abelian matrix groups [ MR 1874277 ]
• Giandomenico Boffi and Fabio Rossi - Lexicographic Gröbner bases of 3-dimensional transportation problems [ MR 1874278 ]
• E. Briales, A. Campillo, P. Pisón and A. Vigneron - Simplicial complexes and syzygies of lattice ideals [ MR 1874279 ]
• Uli Walther - Algorithmic determination of the rational cohomology of complex varieties via differential forms [ MR 1874280 ]
• Mutsumi Saito and William N. Traves - Differential algebras on semigroup algebras [ MR 1874281 ]
• Michael J. Bardzell - Noncommutative Gröbner bases and Hochschild cohomology [ MR 1874282 ]
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Volume: 2862001; 240 pp
MSC: Primary 68; 12; 14; 13; 11;

This volume contains papers related to the research conference, “Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering,” held at Mount Holyoke College (MA). It provides a broad range of active research areas in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop the theoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.

Graduate students and research mathematicians interested in symbolic computation, applied mathematics, and engineering.

• Articles
• David A. Cox - Equations of parametric curves and surfaces via syzygies [ MR 1874268 ]
• Gema M. Díaz-Toca and Laureano González-Vega - An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computations [ MR 1874269 ]
• Andrew J. Sommese, Jan Verschelde and Charles W. Wampler - Numerical irreducible decomposition using projections from points on the components [ MR 1874270 ]
• Karin Gatermann - Counting stable solutions of sparse polynomial systems in chemistry [ MR 1874271 ]
• Ilias S. Kotsireas - Central configurations in the Newtonian $N$-body problem of celestial mechanics [ MR 1874272 ]
• Domenico Napoletani - A power function approach to Kouchnirenko’s conjecture [ MR 1874273 ]
• J. Maurice Rojas - Finiteness for arithmetic fewnomial systems [ MR 1874274 ]
• Dima Grigoriev - Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systems [ MR 1874275 ]
• Carlos D’Andrea and Ioannis Z. Emiris - Computing sparse projection operators [ MR 1874276 ]
• Bernd Sturmfels - Gröbner bases of abelian matrix groups [ MR 1874277 ]
• Giandomenico Boffi and Fabio Rossi - Lexicographic Gröbner bases of 3-dimensional transportation problems [ MR 1874278 ]
• E. Briales, A. Campillo, P. Pisón and A. Vigneron - Simplicial complexes and syzygies of lattice ideals [ MR 1874279 ]
• Uli Walther - Algorithmic determination of the rational cohomology of complex varieties via differential forms [ MR 1874280 ]
• Mutsumi Saito and William N. Traves - Differential algebras on semigroup algebras [ MR 1874281 ]
• Michael J. Bardzell - Noncommutative Gröbner bases and Hochschild cohomology [ MR 1874282 ]
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