The Resource Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra, by Matthias Beck, Sinai Robins, (electronic resource)
Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra, by Matthias Beck, Sinai Robins, (electronic resource)
Resource Information
The item Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra, by Matthias Beck, Sinai Robins, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra, by Matthias Beck, Sinai Robins, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a selfcontained tooling device. The topics include a friendly invitation to Ehrhart's theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coinexchange problem, Dedekind sums, solid angles, EulerMaclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more. With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume? Reviews of the first edition: zYou owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.y — MAA Reviews zThe book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate rial, exercises, open problems and an extensive bibliography.y — Zentralblatt MATH zThis beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.y — Mathematical Reviews zMany departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.y — CHOICE
 Language
 eng
 Extent
 XX, 285 p. 54 illus., 1 illus. in color.
 Contents

 The CoinExchange Problem of Frobenius
 A Gallery of Discrete Volumes
 Counting Lattice Points in Polytopes: The Ehrhart Theory
 Reciprocity
 Face Numbers and the DehnSommerville Relations in Ehrhartian Terms
 Magic Squares
 Finite Fourier Analysis
 Dedekind Sums
 Zonotopes
 hPolynomials and h*Polynomials
 The Decomposition of a Polytope Into Its Cones
 EulerMaclaurin Summation in Rd
 Solid Angles
 A Discrete Version of Green's Theorem Using Elliptic Functions
 Isbn
 9781493929696
 Label
 Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra
 Title
 Computing the Continuous Discretely
 Title remainder
 IntegerPoint Enumeration in Polyhedra
 Statement of responsibility
 by Matthias Beck, Sinai Robins
 Language
 eng
 Summary
 This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a selfcontained tooling device. The topics include a friendly invitation to Ehrhart's theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coinexchange problem, Dedekind sums, solid angles, EulerMaclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more. With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume? Reviews of the first edition: zYou owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.y — MAA Reviews zThe book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate rial, exercises, open problems and an extensive bibliography.y — Zentralblatt MATH zThis beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.y — Mathematical Reviews zMany departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.y — CHOICE
 http://library.link/vocab/creatorName
 Beck, Matthias
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Robins, Sinai.
 SpringerLink (Online service)
 Series statement
 Undergraduate Texts in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Computer mathematics
 Convex geometry
 Discrete geometry
 Number theory
 Combinatorics
 Label
 Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra, by Matthias Beck, Sinai Robins, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 The CoinExchange Problem of Frobenius  A Gallery of Discrete Volumes  Counting Lattice Points in Polytopes: The Ehrhart Theory  Reciprocity  Face Numbers and the DehnSommerville Relations in Ehrhartian Terms  Magic Squares  Finite Fourier Analysis  Dedekind Sums  Zonotopes  hPolynomials and h*Polynomials  The Decomposition of a Polytope Into Its Cones  EulerMaclaurin Summation in Rd  Solid Angles  A Discrete Version of Green's Theorem Using Elliptic Functions
 Control code
 9781493929696
 Dimensions
 unknown
 Extent
 XX, 285 p. 54 illus., 1 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493929696
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493929696
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)932167022
 Label
 Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra, by Matthias Beck, Sinai Robins, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 The CoinExchange Problem of Frobenius  A Gallery of Discrete Volumes  Counting Lattice Points in Polytopes: The Ehrhart Theory  Reciprocity  Face Numbers and the DehnSommerville Relations in Ehrhartian Terms  Magic Squares  Finite Fourier Analysis  Dedekind Sums  Zonotopes  hPolynomials and h*Polynomials  The Decomposition of a Polytope Into Its Cones  EulerMaclaurin Summation in Rd  Solid Angles  A Discrete Version of Green's Theorem Using Elliptic Functions
 Control code
 9781493929696
 Dimensions
 unknown
 Extent
 XX, 285 p. 54 illus., 1 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493929696
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493929696
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)932167022
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ComputingtheContinuousDiscretely/XUQprPxS5zg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ComputingtheContinuousDiscretely/XUQprPxS5zg/">Computing the Continuous Discretely : IntegerPoint Enumeration in Polyhedra, by Matthias Beck, Sinai Robins, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>