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by Frank Sottile

  • ISBN: 0821853317
  • Category: Math & Science
  • Author: Frank Sottile
  • Subcategory: Mathematics
  • Other formats: lrf rtf lrf txt
  • Language: English
  • Publisher: American Mathematical Society; New ed. edition (August 31, 2011)
  • Pages: 199 pages
  • FB2 size: 1894 kb
  • EPUB size: 1663 kb
  • Rating: 4.6
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Download Real Solutions to Equations from Geometry (University Lecture Series) fb2

Real solutions to equations from geometry. University Lecture Series, AMS, 2011. G Benkart, F Sottile, J Stroomer. journal of combinatorial theory, Series A 76 (1), 11-43, 1996.

Real solutions to equations from geometry. Numerical schubert calculus. B Huber, F Sottile, B Sturmfels. Journal of Symbolic Computation 26 (6), 767-788, 1998. Structure of the Loday–Ronco Hopf algebra of trees. Journal of Algebra 295 (2), 473-511, 2006.

University Lecture Series 5. But Frank Sottile has. These are the types of questions that Sottile considers in his new book Real Solutions to Equations From Geometry: given a system of multivariate polynomial equations, how many solutions are there over the real numbers?

University Lecture Series 57. Price: 4. 0. These are the types of questions that Sottile considers in his new book Real Solutions to Equations From Geometry: given a system of multivariate polynomial equations, how many solutions are there over the real numbers? This book is less concerned with algorithms for how to find the roots than in how to determine how many roots there are in a given range. If your interests lie more towards the algorithmic then there are other books on that topic.

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Frank Sottile Department of Mathematics . Texas A&M University College Station TX 77843 USA. sottile. Such equations from geometry for which we have information about their real solutions are the subject of these notes. We will focus on equations from toric varieties and homogeneous spaces, particularly Grassmannians. Not only is much known in these cases, but they encompass some of the most common applications. The results we discuss may be grouped into three themes

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oceedings{veGF, title {Enumerative geometry for real varieties}, author {Frank Sottile} . We discuss the problem of whether a given problem in enumerative geometry can have all of its solutions be real.

oceedings{veGF, title {Enumerative geometry for real varieties}, author {Frank Sottile}, year {1996} }. Frank Sottile. In particular, we describe an approach to problems of this type, and show how this can be used to show some enumerative problems involving the Schubert calculus on Grassmannians may have all of their solutions be real. We conclude by describing the work of Fulton and Ronga-Tognoli-Vust, who (independently) showed that there are 5 real plane conics such that each of the 3264 conics. University Lecture Series volume 57, AMS, 2011. It has been licensed by the TU Berlin last year. Unfortunately, this information is not yet visible in Primo. pdf There is also an arXiv version with ID number 0609829. Semesterapparat: We created for each of the lectures "Condition" and "Variations on Bezout's Theorem" a so called Semesterapparat.

F. Sottile, R. Vakil, and J. Verschelde, Solving Schubert problems with n homotopies, Proc.

Sottile, Real solutions to equations from geometry, University Lecture Series, vol. 57, American Mathematical Society, 2011. 33. F. ISSAC 2010 (Stephen M. Watt, e., ACM, 2010, pp. 179–186. Authors and Affiliations.

For additional information and updates on this book, visit ww. ms. Real solutions to equations from geometry, Frank Sottile

For additional information and updates on this book, visit ww. Real solutions to equations from geometry, Frank Sottile. p. cm. - (University lecture series ; v. 57) Includes bibliographical references and index. ISBN 978-0-8218-5331-3 (alk. paper) 1. Algebraic varieties. 2. Geometry, Algebraic. S68 2011 51. 53-dc23 2011019676 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such.

Series: University Lecture Series (Book 2). Paperback: 64 pages. Publisher: American Mathematical Society (July 1, 1990).

Understanding, finding, or even deciding on the existence of real solutions to a system of equations is a difficult problem with many applications outside of mathematics. While it is hopeless to expect much in general, we know a surprising amount about these questions for systems which possess additional structure often coming from geometry. This book 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. The book begins with an overview, giving background on real solutions to univariate polynomials and the geometry of sparse polynomial systems. The first half of the book concludes with fewnomial upper bounds and with lower bounds to sparse polynomial systems. The second half of the book begins by sampling some geometric problems for which all solutions can be real, before devoting the last five chapters to the Shapiro Conjecture, in which the relevant polynomial systems have only real solutions.

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