Editors:
Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 149)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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.
Editors and Affiliations
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College of Letters & Science, Dept. Mathematics, University of California, Santa Barbara, Santa Barbara, USA
Mihai Putinar
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Cambridge, U.S.A.
Seth Sullivant
Bibliographic Information
Book Title: Emerging Applications of Algebraic Geometry
Editors: Mihai Putinar, Seth Sullivant
Series Title: The IMA Volumes in Mathematics and its Applications
DOI: https://doi.org/10.1007/978-0-387-09686-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-09685-8
Softcover ISBN: 978-1-4419-1881-9
eBook ISBN: 978-0-387-09686-5
Series ISSN: 0940-6573
Series E-ISSN: 2198-3224
Edition Number: 1
Number of Pages: XI, 376
Topics: Algebraic Geometry, General Algebraic Systems, Applications of Mathematics, Algebra