The Resource Integer points in polyhedra, Alexander Barvinok

Integer points in polyhedra, Alexander Barvinok

Label
Integer points in polyhedra
Title
Integer points in polyhedra
Statement of responsibility
Alexander Barvinok
Creator
Subject
Language
eng
Member of
Cataloging source
COO
http://library.link/vocab/creatorDate
1963-
http://library.link/vocab/creatorName
Barvinok, Alexander
Illustrations
illustrations
Index
index present
LC call number
QA171.5
LC item number
.B38 2008
Literary form
non fiction
Nature of contents
bibliography
Series statement
Zurich lectures in advanced mathematics.
http://library.link/vocab/subjectName
  • Polyhedral functions
  • Lattice theory
  • Polynomials
  • Polyeder
  • Veelvlakken
  • Partiële orde
  • Getaltheorie
  • Convexe lichamen
  • Polytop
  • Punktgitter
  • Lattice theory
  • Polyhedral functions
  • Polynomials
Label
Integer points in polyhedra, Alexander Barvinok
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [187]-189) and index
Contents
The algebra of polyhedra -- Linear transformations and polyhedra -- The structure of polyhedra -- Polarity -- Tangent cones : decompositions modulo polyhedra with lines -- Open polyhedra -- The exponential valuation -- Computing volumes -- Lattices, bases, and parallelepipeds -- The Minkowski convex body theorem -- Reduced basis -- Exponential sums and generating functions -- Totally unimodular polytopes -- Decomposing a 2-dimensional cone into unimodular cones via continued fractions -- Decomposing a rational cone of an arbitrary dimension into unimodular cones -- Efficient counting of integer points in rational polytopes -- The polynomial behavior of the number of integer points in polytopes -- A valuation on rational cones -- A "local" formula for the number of integer points in a polytope
Dimensions
24 cm.
Extent
viii, 189 p.
Isbn
9783037190524
Other physical details
ill.
System control number
  • (OCoLC)261176012
  • (OCoLC)ocn261176012
Label
Integer points in polyhedra, Alexander Barvinok
Publication
Bibliography note
Includes bibliographical references (p. [187]-189) and index
Contents
The algebra of polyhedra -- Linear transformations and polyhedra -- The structure of polyhedra -- Polarity -- Tangent cones : decompositions modulo polyhedra with lines -- Open polyhedra -- The exponential valuation -- Computing volumes -- Lattices, bases, and parallelepipeds -- The Minkowski convex body theorem -- Reduced basis -- Exponential sums and generating functions -- Totally unimodular polytopes -- Decomposing a 2-dimensional cone into unimodular cones via continued fractions -- Decomposing a rational cone of an arbitrary dimension into unimodular cones -- Efficient counting of integer points in rational polytopes -- The polynomial behavior of the number of integer points in polytopes -- A valuation on rational cones -- A "local" formula for the number of integer points in a polytope
Dimensions
24 cm.
Extent
viii, 189 p.
Isbn
9783037190524
Other physical details
ill.
System control number
  • (OCoLC)261176012
  • (OCoLC)ocn261176012

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