Emerging Applications of Algebraic Geometry

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 wor...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Putinar, Mihai. (Editor), Sullivant, Seth. (Editor)
Format: Electronic
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2009.
Series:The IMA Volumes in Mathematics and its Applications, 149
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-09686-5
Table of Contents:
  • 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.-.