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Emerging Applications of Algebraic Geometry
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Emerging Applications of Algebraic Geometry (EB) / edited by Mihai Putinar, Seth Sullivant.
Author
Putinar, Mihai. , 1955-
Added Personal Name
Sullivant, Seth
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer
, 2009.
Physical Details
XI, 376 pages : online resource.
Series
The IMA volumes in mathematics and its applications
0940-6573 ; ; 149
ISBN
9780387096865
Summary Note
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.:
Contents note
Foreword -- Preface -- Polynomial 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 -- List of workshop participants.-.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-0-387-09686-5
Links to Related Works
Subject References:
Algebra
.
Algebraic Geometry
.
Applications of Mathematics
.
General Algebraic Systems
.
Geometry, Algebraic
.
Mathematics
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Authors:
editor
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Putinar, Mihai. 1955-
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Sullivant, Seth
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Corporate Authors:
SpringerLink (Online service)
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Series:
The IMA volumes in mathematics and its applications
.
Classification:
516.35
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