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The first half of this book furnishes an introduction and represents a snapshot of the state of the art regarding systems of polynomial equations. Afficionados of the well-known text books by Cox, Little, and O’Shea will find familiar themes in the first five chapters: polynomials in one variable, Gr¨obner bases of zero-dimensional ideals, Newton polytopes and Bernstein’s Theorem, multidimensional resultants, and primary decomposition.

The second half of this book explores polynomial equations from a variety of novel and perhaps unexpected angles. Interdisciplinary connections are introduced, highlights of current research are discussed, and the author’s hopes for future algorithms are outlined. The topics in these chapters include computation of Nash equilibria in game theory, semidefinite programming and the real Nullstellensatz, the algebraic geometry of statistical models, the piecewiselinear geometry of valuations and amoebas, and the Ehrenpreis-Palamodov theorem on linear partial differential equations with constant coefficients.

Course material to download for free on **Solving Systems of Polynomial Equations** category Mathematics.

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Download An Introduction to Solving Polynomial Equations when one solution is known, Factorising polynomials and equating coefficients. Free PDF course. - type of file pdf and size 149.51 KB, tutorial for level Beginner .

To provide students the best possible methods for solving equations that contains a radical. A PDF course. - type of file pdf and size 244.75 KB, tutorial for level Beginner .

Download free Steps to Solving Equations course, a PDF file by Mathematics Assessment Resource Service University of Nottingham & UC Berkeley. - type of file pdf and size 707.75 KB, tutorial for level Beginner .

Download free Solving Linear Equations in One Variable course, a PDF file by Mathematics Assessment Resource Service University of Nottingham & UC Berkeley. - type of file pdf and size 596.49 KB, tutorial for level Beginner .

Many common functions are polynomial functions. In this unit we describe polynomial functions and look at some of their properties. PDF course. - type of file pdf and size 97.72 KB, tutorial for level Beginner .

Download course Finite Fields (PART 3) - Polynomial Arithmetic Theoretical Underpinnings of Modern Cryptography, Free PDF ebook. - type of file pdf and size 99.49 KB, tutorial for level Advanced .

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