Integer Points In Polyhedra Geometry Number Theory Representation Theory Algebra Optimization Statistics
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Author | : Matthias Beck |
Publisher | : American Mathematical Soc. |
Total Pages | : 202 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821841734 |
"The AMS-IMS-SIAM Joint Summer Research Conference "Integer Points in Polyhedra--Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics" was held in Snowbird, Utah in June 2006. This proceedings volume contains research and survey articles originating from the conference. The volume is a cross section of recent advances connected to lattice-point questions. Similar to the talks given at the conference, topics range from commutative algebra to optimization, from discrete geometry to statistics, from mirror symmetry to geometry of numbers. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields." -- Back cover.
Author | : Alexander Barvinok |
Publisher | : American Mathematical Soc. |
Total Pages | : 210 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821834592 |
The AMS-IMS-SIAM Summer Research Conference on Integer Points in Polyhedra took place in Snowbird (UT). This proceedings volume contains original research and survey articles stemming from that event. Topics covered include commutative algebra, optimization, discrete geometry, statistics, representation theory, and symplectic geometry. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields.
Author | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 191 |
Release | : 2005 |
Genre | : Convex sets |
ISBN | : 9780821857083 |
Author | : Alexander Barvinok |
Publisher | : European Mathematical Society |
Total Pages | : 204 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9783037190524 |
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-Lovasz 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.
Author | : Jesus A. De Loera |
Publisher | : SIAM |
Total Pages | : 320 |
Release | : 2013-01-31 |
Genre | : Mathematics |
ISBN | : 1611972434 |
In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete optimization. This book can be used as a textbook for advanced undergraduates or first-year graduate students in mathematics, computer science or operations research. It is also appropriate for mathematicians, engineers, and scientists engaged in computation who wish to gain a deeper understanding of how and why algorithms work.
Author | : Takayuki Hibi |
Publisher | : World Scientific |
Total Pages | : 476 |
Release | : 2019-05-30 |
Genre | : Mathematics |
ISBN | : 9811200491 |
This volume consists of research papers and expository survey articles presented by the invited speakers of the Summer Workshop on Lattice Polytopes. Topics include enumerative, algebraic and geometric combinatorics on lattice polytopes, topological combinatorics, commutative algebra and toric varieties.Readers will find that this volume showcases current trends on lattice polytopes and stimulates further developments of many research areas surrounding this field. With the survey articles, research papers and open problems, this volume provides its fundamental materials for graduate students to learn and researchers to find exciting activities and avenues for further exploration on lattice polytopes.
Author | : Bruce Landman |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 1092 |
Release | : 2014-06-18 |
Genre | : Mathematics |
ISBN | : 3110298163 |
"Integers" is a refereed online journal devoted to research in the area of combinatorial number theory. It publishes original research articles in combinatorics and number theory. Topics covered by the journal include additive number theory, multiplicative number theory, sequences and sets, extremal combinatorics, Ramsey theory, elementary number theory, classical combinatorial problems, hypergraphs, and probabilistic number theory. Integers also houses a combinatorial games section. This work presents all papers of the 2013 volume in book form.
Author | : Vitor Balestro |
Publisher | : Springer Nature |
Total Pages | : 1195 |
Release | : |
Genre | : |
ISBN | : 3031505077 |
Author | : Ricardo Castaño-Bernard |
Publisher | : American Mathematical Soc. |
Total Pages | : 184 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0821848844 |
This volume contains contributions from the NSF-CBMS Conference on Tropical Geometry and Mirror Symmetry, which was held from December 13-17, 2008 at Kansas State University in Manhattan, Kansas. --
Author | : Jürgen Gerhard |
Publisher | : Springer Nature |
Total Pages | : 367 |
Release | : 2020-02-27 |
Genre | : Computers |
ISBN | : 303041258X |
This book constitutes the refereed proceedings of the third Maple Conference, MC 2019, held in Waterloo, Ontario, Canada, in October 2019. The 21 revised full papers and 9 short papers were carefully reviewed and selected out of 37 submissions, one invited paper is also presented in the volume. The papers included in this book cover topics in education, algorithms, and applciations of the mathematical software Maple.