ENGLISH

Emerging Applications of Algebraic Geometry

By Mihai Putinar , John P. D’Angelo , Mihai Putinar (auth.) , Seth Sullivant (eds.)

Book information

Publisher
Springer-Verlag New York
Year
2009
ISBN
038709685X, 9780387096865, 9780387096858, 0397803870968, 0387096868
DOI
10.1007/978-0-387-09686-5
LCC
QA564 .E45 2009
Open Library ID
OL14091203M
Language
english
Format
PDF
Filesize
16 MB (16331148 bytes)
Series
The IMA Volumes in Mathematics and its Applications 149
Edition
1
Pages
376\382
Scanned
yes
Time added
2011-06-04 13:46:07
Algebraic Geometry; General Algebraic Systems; App

Description

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.

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