#
Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra
Resource Information
The work ** Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra** represents a distinct intellectual or artistic creation found in **European University Institute**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra
Resource Information

The work

**Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra**represents a distinct intellectual or artistic creation found in**European University Institute**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra

- Title remainder
- Integer-Point 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 self-contained tooling device. The topics include a friendly invitation to Ehrhart's theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler-Maclaurin 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

- Image bit depth
- 0

- Literary form
- non fiction

- Series statement
- Undergraduate Texts in Mathematics,

## Context

Context of Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra#### Work of

No resources found

No enriched resources found

## Embed

### Settings

Select options that apply then copy and paste the RDF/HTML data fragment to include in your application

Embed this data in a secure (HTTPS) page:

Layout options:

Include data citation:

<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/resource/slBgM28QToM/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/resource/slBgM28QToM/">Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra</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>

Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements

### Preview

## Cite Data - Experimental

### Data Citation of the Work Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra

Copy and paste the following RDF/HTML data fragment to cite this resource

`<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/resource/slBgM28QToM/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/resource/slBgM28QToM/">Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra</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>`