The Resource Topics in hyperplane arrangements, polytopes and boxsplines, Corrado De Concini, Claudio Procesi
Topics in hyperplane arrangements, polytopes and boxsplines, Corrado De Concini, Claudio Procesi
Resource Information
The item Topics in hyperplane arrangements, polytopes and boxsplines, Corrado De Concini, Claudio Procesi represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Topics in hyperplane arrangements, polytopes and boxsplines, Corrado De Concini, Claudio Procesi represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Several mathematical areas that have been developed independently over the last 30 years are brought together revolving around the computation of the number of integral points in suitable families of polytopes. The problem is formulated here in terms of partition functions and multivariate splines. In its simplest form, the problem is to compute the number of ways a given nonnegative integer can be expressed as the sum of h fixed positive integers. This goes back to ancient times and was investigated by Euler, Sylvester among others; in more recent times also in the higher dimensional case of vectors. The book treats several topics in a nonsystematic way to show and compare a variety of approaches to the subject. No book on the material is available in the existing literature. Key topics and features include:  Numerical analysis treatments relating this problem to the theory of box splines  Study of regular functions on hyperplane and toric arrangements via Dmodules  Residue formulae for partition functions and multivariate splines  Wonderful completion of the complement of hyperplane arrangements  Theory and properties of the Tutte polynomial of a matroid and of zonotopes Graduate students as well as researchers in algebra, combinatorics and numerical analysis, will benefit from Topics in Hyperplane Arrangements, Polytopes, and Box Splines
 Language
 eng
 Extent
 1 online resource (xx, 384 pages).
 Contents

 Introduction
 I Preliminaries. 1 Polytopes. 2 Hyperplane Arrangements. 3 Fourier and Laplace Transforms. 4 Modules Over the Weyl Algebra. 5 Differential and Difference Equations. 6 Approximation Theory I
 II The Differentiable Case. 7 Splines. 8 Rx as a DModule. 9 The function Tx. 10 Cohomology. 11 Differential Equations
 III The Discrete Case. 12 Partition Functions. 13 Toric Arrangements. 14 Cohomology of Toric Arrangements. 15 Difference Equations. 16 Applications. 17 Approximation Theory II
 IV The Wonderful Model. 18 Minimal Models
 Isbn
 9780387789620
 Label
 Topics in hyperplane arrangements, polytopes and boxsplines
 Title
 Topics in hyperplane arrangements, polytopes and boxsplines
 Statement of responsibility
 Corrado De Concini, Claudio Procesi
 Language
 eng
 Summary
 Several mathematical areas that have been developed independently over the last 30 years are brought together revolving around the computation of the number of integral points in suitable families of polytopes. The problem is formulated here in terms of partition functions and multivariate splines. In its simplest form, the problem is to compute the number of ways a given nonnegative integer can be expressed as the sum of h fixed positive integers. This goes back to ancient times and was investigated by Euler, Sylvester among others; in more recent times also in the higher dimensional case of vectors. The book treats several topics in a nonsystematic way to show and compare a variety of approaches to the subject. No book on the material is available in the existing literature. Key topics and features include:  Numerical analysis treatments relating this problem to the theory of box splines  Study of regular functions on hyperplane and toric arrangements via Dmodules  Residue formulae for partition functions and multivariate splines  Wonderful completion of the complement of hyperplane arrangements  Theory and properties of the Tutte polynomial of a matroid and of zonotopes Graduate students as well as researchers in algebra, combinatorics and numerical analysis, will benefit from Topics in Hyperplane Arrangements, Polytopes, and Box Splines
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 De Concini, Corrado
 Dewey number
 516/.158
 Index
 index present
 Language note
 English
 LC call number
 QA691
 LC item number
 .D43 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Procesi, Claudio
 Series statement
 Universitext
 http://library.link/vocab/subjectName

 Polytopes
 Approximation theory
 Transformations (Mathematics)
 Approximation theory
 Polytopes
 Transformations (Mathematics)
 Label
 Topics in hyperplane arrangements, polytopes and boxsplines, Corrado De Concini, Claudio Procesi
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  I Preliminaries. 1 Polytopes. 2 Hyperplane Arrangements. 3 Fourier and Laplace Transforms. 4 Modules Over the Weyl Algebra. 5 Differential and Difference Equations. 6 Approximation Theory I  II The Differentiable Case. 7 Splines. 8 Rx as a DModule. 9 The function Tx. 10 Cohomology. 11 Differential Equations  III The Discrete Case. 12 Partition Functions. 13 Toric Arrangements. 14 Cohomology of Toric Arrangements. 15 Difference Equations. 16 Applications. 17 Approximation Theory II  IV The Wonderful Model. 18 Minimal Models
 Control code
 664119046
 Dimensions
 unknown
 Extent
 1 online resource (xx, 384 pages).
 Form of item
 online
 Isbn
 9780387789620
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387789637
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387789620
 Specific material designation
 remote
 System control number
 (OCoLC)664119046
 Label
 Topics in hyperplane arrangements, polytopes and boxsplines, Corrado De Concini, Claudio Procesi
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  I Preliminaries. 1 Polytopes. 2 Hyperplane Arrangements. 3 Fourier and Laplace Transforms. 4 Modules Over the Weyl Algebra. 5 Differential and Difference Equations. 6 Approximation Theory I  II The Differentiable Case. 7 Splines. 8 Rx as a DModule. 9 The function Tx. 10 Cohomology. 11 Differential Equations  III The Discrete Case. 12 Partition Functions. 13 Toric Arrangements. 14 Cohomology of Toric Arrangements. 15 Difference Equations. 16 Applications. 17 Approximation Theory II  IV The Wonderful Model. 18 Minimal Models
 Control code
 664119046
 Dimensions
 unknown
 Extent
 1 online resource (xx, 384 pages).
 Form of item
 online
 Isbn
 9780387789620
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780387789637
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387789620
 Specific material designation
 remote
 System control number
 (OCoLC)664119046
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Topicsinhyperplanearrangementspolytopesand/oXr1LhBDEc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Topicsinhyperplanearrangementspolytopesand/oXr1LhBDEc/">Topics in hyperplane arrangements, polytopes and boxsplines, Corrado De Concini, Claudio Procesi</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>