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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
Front Cover for Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering
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
Front Cover for Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering
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  • Front Cover for Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering
  • Back Cover for Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering
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.

    Readership

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

  • Table of Contents
     
     
    • 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.

Readership

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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