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Field name	Details
Title	Integer Points in Polyhedra ([EBook] /) / Alexander Barvinok
Author	Barvinok, Alexander
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2008
Physical Details	1 online resource (199 pages)
Series	Zurich Lectures in Advanced Mathematics (ZLAM)
ISBN	9783037195529
Summary Note	This is a self-contained exposition of several core aspects of the theory of rational polyhedra with a view towards algorithmic applications to efficient counting of integer points, a problem arising in many areas of pure and applied mathematics. The approach is based on the consistent development and application of the apparatus of generating functions and the algebra of polyhedra. Topics range from classical, such as the Euler characteristic, continued fractions, Ehrhart polynomial, Minkowski Convex Body Theorem, and the Lenstra– Lenstra–Lovász lattice reduction algorithm, to recent advances such as the Berline–Vergne local formula. The text is intended for graduate students and researchers. Prerequisites are a modest background in linear algebra and analysis as well as some general mathematical maturity. Numerous figures, exercises of varying degree of difficulty as well as references to the literature and publicly available software make the text suitable for a graduate course.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/052
See Also	https://www.ems-ph.org/img/books/barvinok_mini.jpg
Links to Related Works	Subject References: Algebraic number theory . Combinatorics . Convex and Discrete Geometry . Finite geometry . Number Theory . Authors: author . Barvinok, Alexander . Series: Zurich Lectures in Advanced Mathematics (ZLAM) .

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Integer Points in Polyhedra

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