Topics in Hyperplane Arrangements, Polytopes and Box-Splines

Buch | Softcover
381 Seiten
2010
Springer-Verlag New York Inc.
978-0-387-78962-0 (ISBN)

Lese- und Medienproben

Topics in Hyperplane Arrangements, Polytopes and Box-Splines - Corrado De Concini, Claudio Procesi
69,54 inkl. MwSt
This book brings together many areas of mathematics that focus on methods to compute the number of integral points in suitable families or variable polytopes. The book is written by two distinguished authors and excellent examples drive the exposition.
Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many areas of research 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. This book, written by two distinguished authors, engages a broad audience by proving the a strong foudation. This book may be used in the classroom setting as well as a reference for researchers.

Preliminaries.- Polytopes.- Hyperplane Arrangements.- Fourier and Laplace Transforms.- Modules over the Weyl Algebra.- Differential and Difference Equations.- Approximation Theory I.- The Di?erentiable Case.- Splines.- RX as a D-Module.- The Function TX.- Cohomology.- Differential Equations.- The Discrete Case.- Integral Points in Polytopes.- The Partition Functions.- Toric Arrangements.- Cohomology of Toric Arrangements.- Polar Parts.- Approximation Theory.- Convolution by B(X).- Approximation by Splines.- Stationary Subdivisions.- The Wonderful Model.- Minimal Models.

Reihe/Serie Universitext
Zusatzinfo 4 Illustrations, color; 15 Illustrations, black and white; XXII, 381 p. 19 illus., 4 illus. in color.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-387-78962-6 / 0387789626
ISBN-13 978-0-387-78962-0 / 9780387789620
Zustand Neuware
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