Emerging Applications of Algebraic Geometry

Seth Sullivant

ISBN 10: 038709685X / ISBN 13: 9780387096858

Editore: Springer New York, Springer US Okt 2008, 2008

Riguardo questo articolo

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 392 pp. Englisch.

Codice articolo 9780387096858

Dati bibliografici

• Titolo: Emerging Applications of Algebraic Geometry
• Editore: Springer New York, Springer US Okt 2008
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 038709685X
• ISBN 13: 9780387096858
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 26 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 26 millimetri di profondità
• Peso: 752 grammi

Descrizione articolo

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.