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Solving polynomial equations : foundations, algorithms, and applications

Author: Alicia Dickenstein; Ioannis Z Emiris
Publisher: Berlin ; New York : Springer, ©2005.
Series: Algorithms and computation in mathematics, v. 14.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state-of-the-art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Solving polynomial equations.
Berlin ; New York : Springer, ©2005
(DLC) 2005921469
(OCoLC)60333471
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alicia Dickenstein; Ioannis Z Emiris
ISBN: 9783540273578 3540273573 3540243267 9783540243267
OCLC Number: 209866779
Description: 1 online resource (xiii, 424 pages) : illustrations (some color).
Contents: Introduction to residues and resultants / Eduardo Cattani, Alicia Dickenstein --
Solving equations via algebras / David A. Cox --
Symbolic-numeric methods for solving polynomial equations and applications / Mohamed Elkadi, Bernard Mourrain --
An algebraist's view on border bases / Achim Kehrein, Martin Kreuzer, Lorenzo Robbiano --
Tools for computing primary decompositions and applications to ideals associated to Bayesian networks / Michael Stillman --
Algorithms and their complexities / Juan Sabia --
Toric resultants and applications to geometric modelling / Ioannis Z. Emiris --
Introduction to numerical algebraic geometry / Andrew J. Sommese, Jan Verschelde, Charles W. Wampler --
Four lectures on polynomial absolute factorization / Guillaume Chèze, André Galligo.
Series Title: Algorithms and computation in mathematics, v. 14.
Responsibility: Alicia Dickenstein, Ioannis Z. Emiris (editors).
More information:

Abstract:

While the core of the subject remains algebraic geometry, it also calls upon many other aspects of mathematics and theoretical computer science, ranging from numerical methods, di?erential equations  Read more...

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From the reviews of the first edition:"[...] The editors of the book - Alicia Dickenstein and Ioannis Emiris - have done a very good job in collecting a set of expository lectures on a very Read more...

 
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