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Previews available in: English
Subjects
Partiële orde, Polynomials, Convexe lichamen, Polyeder, Getaltheorie, Polyhedral functions, Lattice theory, Veelvlakken, Fonctions polyédriques, Théorie des treillis, Polynômes, Finite geometry, Algebraic number theory, Diskrete Geometrie, Konvexes Polyeder, Convex and discrete geometry, Combinatorics, Number theoryShowing 1 featured edition. View all 1 editions?
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Book Details
Table of 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.
Edition Notes
Includes bibliographical references (p. [187]-189) and index.
Classifications
The Physical Object
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