Frank Sottile (47 results)

Hardcover. Condition: Very Good+. Very good+ hardcover. Binding is tight, sturdy, and square; boards and text also very good+, shelfwear is very minor. No dust jacket issued. NOT ex-library. Ships from Dinkytown in Minneapolis, Minnesota.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Condition: New.

Paperback. Condition: New. 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.…

Condition: 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. . . . .…

Paperback. Condition: Brand New. 199 pages. 9.50x6.75x0.50 inches. In Stock.

Condition: As New. Unread book in perfect condition.

Condition: New.

Condition: 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.…

Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days.

Condition: As New. Unread book in perfect condition.

Softcover. Condition: Gut. ix, 200 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05202 9780821853313 Sprache: Englisch Gewicht in Gramm: 550.

Condition: New. In English.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condition: New. 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.…

Paperback. Condition: Brand New. 354 pages. 10.00x7.00x0.56 inches. In Stock.

Condition: New. 2025. paperback. . . . . .

Condition: New.

Condition: As New. Unread book in perfect condition.

Condition: New.

Condition: New. 2025. paperback. . . . . . Books ship from the US and Ireland.

Condition: New.

Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days.

Condition: As New. Unread book in perfect condition.

Condition: New.

Condition: New. In English.

Condition: New. In English.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry.This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.…

Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry.This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.…

Condition: New. pp. 252.