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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Frank Sottile is at Texas A&M University, College Station, TX
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