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Topics in Hyperplane Arrangements, Polytopes and Box-Splines (Paperback, Edition.)
Loot Price: R1,935
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Topics in Hyperplane Arrangements, Polytopes and Box-Splines (Paperback, Edition.)
Series: Universitext
Expected to ship within 10 - 15 working days
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Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings
together many areas of mathematics that focus on methods to compute
the number of integral points in suitable families or variable
polytopes. The topics introduced expand upon differential and
difference equations, approximation theory, cohomology, and module
theory. The discussion is divided into five extensive parts; the
first of which provides basic material on convex sets,
combinatorics, polytopes, Laplace and Fourier transforms, and the
language of modules over the Weyl algebra. The following four
sections focus on the differentiable case, discrete case, and
several applications, e.i., two independent chapters explore the
computations of De Rham cohomology for the complement of a
hyperplane or toric arrangement. This book, written by two
distinguished authors, engages a broad audience by providing a
strong foundation in very important areas. This book may be used in
a classroom setting as well as a reference for researchers.
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