Emerging Applications of Algebraic Geometry

. Ed(s): Putinar, Mihai; Sullivant, Seth

ISBN 10: 1441918817 / ISBN 13: 9781441918819

Editore: Springer, 2010

Advances in computational algebraic geometry have led to new applications in many fields. This text covers these applications and also material from IMA workshops on "Optimization and Control," and "Applications in Biology, Dynamics and Statistics." Editor(s): Putinar, Mihai; Sullivant, Seth. Series: The IMA Volumes in Mathematics and its Applications. Num Pages: 387 pages, biography. BIC Classification: PBF; PBMW; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 20. Weight in Grams: 599. . 2010. 2009th Edition. paperback. . . . . Codice articolo V9781441918819

Riassunto:

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.

Dalla quarta di copertina:

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.

Dati bibliografici

Titolo: Emerging Applications of Algebraic Geometry
Casa editrice: Springer
Data di pubblicazione: 2010
Legatura: Brossura
Condizione: New