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020 _a9780387096865
_a99780387096865
024 7 _a10.1007/978-0-387-09686-5
_2doi
100 1 _aPutinar, Mihai.
_eeditor.
245 1 0 _aEmerging Applications of Algebraic Geometry
_h[recurso electrónico] /
_cedited by Mihai Putinar, Seth Sullivant.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2009.
300 _aXI, 376 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573 ;
_v149
505 0 _aPolynomial Optimization on Odd-Dimensional Spheres -- Engineering Systems and Free Semi-Algebraic Geometry -- Algebraic Statistics and Contingency Table Problems: Log-Linear Models, Likelihood Estimation, and Disclosure Limitation -- Using Invariants for Phylogenetic Tree Construction -- On the Algebraic Geometry of Polynomial Dynamical Systems -- A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals -- Sums of Squares, Moment Matrices and Optimization Over Polynomials -- Positivity and Sums of Squares: A Guide to Recent Results -- Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas -- Open Problems in Algebraic Statistics.
520 _aRecent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.
650 0 _aMATHEMATICS.
650 0 _aALGEBRA.
650 0 _aGEOMETRY, ALGEBRAIC.
650 1 4 _aMATHEMATICS.
650 2 4 _aALGEBRAIC GEOMETRY.
650 2 4 _aGENERAL ALGEBRAIC SYSTEMS.
650 2 4 _aAPPLICATIONS OF MATHEMATICS.
650 2 4 _aALGEBRA.
700 1 _aSullivant, Seth.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387096858
830 0 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573 ;
_v149
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-09686-5
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c56025
_d56025