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. . . . .

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Bibliographic Details

Title: Real Solutions to Equations from Geometry (University Lecture Series)
Publisher: American Mathematical Society
Publication Date: 2011
Language: English
ISBN 10: 0821853317
ISBN 13: 9780821853313
Binding: Soft cover
Condition: New

About this title

Synopsis

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)

About the Author

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

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