TY - BOOK ID - 14296000 TI - Emerging applications of algebraic geometry AU - Putinar, Mihai AU - Sullivant, Seth. AU - Institute of Mathematics and Its Applications. PY - 2009 SN - 038709685X 9786611926830 1281926833 0387096868 3540096868 3540385134 PB - New York : Springer, DB - UniCat KW - Geometry, Algebraic. KW - Sex therapy. KW - Sexual disorders. KW - Geometry, Algebraic KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Algebraic geometry KW - yeast [fungi] KW - lactase KW - gisten KW - polysachariden KW - Mathematics. KW - Algebra. KW - Algebraic geometry. KW - Applied mathematics. KW - Engineering mathematics. KW - Algebraic Geometry. KW - General Algebraic Systems. KW - Applications of Mathematics. KW - Geometry, algebraic. KW - Math KW - Science KW - Mathematical analysis KW - Engineering KW - Engineering analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:14296000 AB - Recent 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. ER -