Sottile (Texas A&M) explores real solutions to systems of multivariate polynomial equations, and applies them to the art of counting geometric figures satisfying conditions imposed by fixed geometric figures. The graduate text develops the theories of upper bounds and lower bounds for sparse polynomial systems, and introduces the Shapiro Conjecture and its generalizations, where the upper bound is also the lower bound. Color figures are provided. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
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Condizione: New. Focuses on equations from toric varieties and Grassmannians. Not only is much known about these, but such equations are common in applications. There are three main themes: upper bounds on the number of real solutions, lower bounds on the number of real solutions, and geometric problems that can have all solutions be real. Series: University Lecture Series. Num Pages: 199 pages, Illustrations (some col.). BIC Classification: PBMW. Category: (G) General (US: Trade). Dimension: 254 x 178. Weight in Grams: 394. . 2011. Paperback. . . . . Codice articolo V9780821853313
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Condizione: New. Focuses on equations from toric varieties and Grassmannians. Not only is much known about these, but such equations are common in applications. There are three main themes: upper bounds on the number of real solutions, lower bounds on the number of real solutions, and geometric problems that can have all solutions be real. Series: University Lecture Series. Num Pages: 199 pages, Illustrations (some col.). BIC Classification: PBMW. Category: (G) General (US: Trade). Dimension: 254 x 178. Weight in Grams: 394. . 2011. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821853313
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