Applications of polynomial systems David A. Cox ; with contributions by Carlos D'Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck and Jessica Sidman.

By: Cox, David AContributor(s): D'Andrea, Carlos | Dickenstein, Alicia | Hauenstein, Jonathan D | Schenck, Henry K | Sidman, JessicaMaterial type: TextTextLanguage: English Series: Conference Board of the Mathematical Sciences CBMS regional conference series in mathematics ; 134Publication details: Rhode Island American Mathematical Society (AMS) 2020Description: 250 pagesISBN: 9781470451370 (Paper Pack)Subject(s): Polynomials | Commutative algebra | Geometry, Algebraic | Commutative algebra -- Computational aspects and applications [See also 14Qxx, 68W30] -- Solving polynomial systems; resultants | Algebraic geometry -- Computational aspects in algebraic geometry [See also 12Y05, 13Pxx, 68W30] -- None of the above, but in this section | Commutative algebra -- Computational aspects and applications [See also 14Qxx, 68W30] -- Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) | Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra [See also 52B20] | Convex and discrete geometry -- Discrete geometry -- Rigidity and flexibility of structures [See also 70B15] | Statistics -- Multivariate analysis [See also 60Exx] -- None of the above, but in this section | Numerical analysis -- Nonlinear algebraic or transcendental equations -- Global methods, including homotopy approaches [See also 58C30, 90C30] | Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section--04 in that area} -- Computing methodologies and applications -- Computer-aided de | Biology and other natural sciences -- Physiological, cellular and medical topics -- Systems biology, networks | Mathematics
Contents:
Elimination theory / by Carlos D'Andrea -- Numerical algebraic geometry / by Jonathan Hauenstein -- Geometric modeling / by Hal Schenck -- Rigidity theory / by Jessica Sidman -- Chemical reaction networks / by Alicia Dickenstein.
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"With support from the National Science Foundation."

"The five chapters are based on the NSF-CBMS Regional Research Conference Applications of Polynomial Systems held at Texas Christian University June 4-8, 2018."

Includes bibliographical references and index.

Elimination theory / by Carlos D'Andrea -- Numerical algebraic geometry / by Jonathan Hauenstein -- Geometric modeling / by Hal Schenck -- Rigidity theory / by Jessica Sidman -- Chemical reaction networks / by Alicia Dickenstein.

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The Institute of Mathematical Sciences, Chennai, India

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