Computing the continuous discretely: integer-point enumeration in polyhedra
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York ; Heidelberg ; Dodrecht ; London
Springer
[2015]
|
Ausgabe: | Second edition |
Schriftenreihe: | Undergraduate texts in mathematics
|
Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online Ressource (XX, 285 Seiten) Illustrationen, Diagramme |
ISBN: | 9781493929696 |
ISSN: | 0172-6056 |
DOI: | 10.1007/978-1-4939-2969-6 |
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Datensatz im Suchindex
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adam_text | COMPUTING THE CONTINUOUS DISCRETELY
/ BECK, MATTHIAS
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE COIN-EXCHANGE PROBLEM OF FROBENIUS
A GALLERY OF DISCRETE VOLUMES
COUNTING LATTICE POINTS IN POLYTOPES: THE EHRHART THEORY
RECIPROCITY
FACE NUMBERS AND THE DEHN–SOMMERVILLE RELATIONS IN EHRHARTIAN TERMS
MAGIC SQUARES
FINITE FOURIER ANALYSIS
DEDEKIND SUMS
ZONOTOPES
H-POLYNOMIALS AND H*-POLYNOMIALS
THE DECOMPOSITION OF A POLYTOPE INTO ITS CONES
EULER–MACLAURIN SUMMATION IN RD
SOLID ANGLES
A DISCRETE VERSION OF GREEN S THEOREM USING ELLIPTIC FUNCTIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
COMPUTING THE CONTINUOUS DISCRETELY
/ BECK, MATTHIAS
: 2015
ABSTRACT / INHALTSTEXT
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: “YOU 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.” — MAA REVIEWS “THE
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.”
— ZENTRALBLATT MATH “THIS 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.”
— MATHEMATICAL REVIEWS “MANY 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.” — CHOICE.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Beck, Matthias 1970- Robins, Sinai |
author_GND | (DE-588)142768375 (DE-588)1083802887 |
author_facet | Beck, Matthias 1970- Robins, Sinai |
author_role | aut aut |
author_sort | Beck, Matthias 1970- |
author_variant | m b mb s r sr |
building | Verbundindex |
bvnumber | BV043209736 |
callnumber-first | Q - Science |
callnumber-label | QA640 |
callnumber-raw | QA640.7 |
callnumber-search | QA640.7 |
callnumber-sort | QA 3640.7 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 890 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)932036821 (DE-599)BVBBV043209736 |
dewey-full | 516.11 511.6 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry 511 - General principles of mathematics |
dewey-raw | 516.11 511.6 |
dewey-search | 516.11 511.6 |
dewey-sort | 3516.11 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4939-2969-6 |
edition | Second edition |
format | Electronic eBook |
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id | DE-604.BV043209736 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:20:36Z |
institution | BVB |
isbn | 9781493929696 |
issn | 0172-6056 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632896 |
oclc_num | 932036821 |
open_access_boolean | |
owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
physical | 1 Online Ressource (XX, 285 Seiten) Illustrationen, Diagramme |
psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | Springer |
record_format | marc |
series2 | Undergraduate texts in mathematics |
spelling | Beck, Matthias 1970- (DE-588)142768375 aut Computing the continuous discretely integer-point enumeration in polyhedra Matthias Beck ; Sinai Robins Second edition New York ; Heidelberg ; Dodrecht ; London Springer [2015] © 2015 1 Online Ressource (XX, 285 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics 0172-6056 Mathematics Computer mathematics Convex geometry Discrete geometry Number theory Combinatorics Number Theory Diskrete Mathematik - Diskrete Geometrie - Polyeder - Gitterpunkt Convex and Discrete Geometry Computational Science and Engineering Mathematik Diskrete Geometrie (DE-588)4130271-0 gnd rswk-swf Gitterpunkt (DE-588)4157384-5 gnd rswk-swf Kontinuum Mathematik (DE-588)4846105-2 gnd rswk-swf Polyeder (DE-588)4132101-7 gnd rswk-swf Gitterpunktproblem (DE-588)4157387-0 gnd rswk-swf Diskrete Mathematik (DE-588)4129143-8 gnd rswk-swf Polyeder (DE-588)4132101-7 s Gitterpunkt (DE-588)4157384-5 s Diskrete Geometrie (DE-588)4130271-0 s Diskrete Mathematik (DE-588)4129143-8 s DE-604 Gitterpunktproblem (DE-588)4157387-0 s Kontinuum Mathematik (DE-588)4846105-2 s Robins, Sinai (DE-588)1083802887 aut Erscheint auch als Druck-Ausgabe 978-1-4939-2968-9 Erscheint auch als Druckausgabe 978-1-4939-2968-9 https://doi.org/10.1007/978-1-4939-2969-6 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632896&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Beck, Matthias 1970- Robins, Sinai Computing the continuous discretely integer-point enumeration in polyhedra Mathematics Computer mathematics Convex geometry Discrete geometry Number theory Combinatorics Number Theory Diskrete Mathematik - Diskrete Geometrie - Polyeder - Gitterpunkt Convex and Discrete Geometry Computational Science and Engineering Mathematik Diskrete Geometrie (DE-588)4130271-0 gnd Gitterpunkt (DE-588)4157384-5 gnd Kontinuum Mathematik (DE-588)4846105-2 gnd Polyeder (DE-588)4132101-7 gnd Gitterpunktproblem (DE-588)4157387-0 gnd Diskrete Mathematik (DE-588)4129143-8 gnd |
subject_GND | (DE-588)4130271-0 (DE-588)4157384-5 (DE-588)4846105-2 (DE-588)4132101-7 (DE-588)4157387-0 (DE-588)4129143-8 |
title | Computing the continuous discretely integer-point enumeration in polyhedra |
title_auth | Computing the continuous discretely integer-point enumeration in polyhedra |
title_exact_search | Computing the continuous discretely integer-point enumeration in polyhedra |
title_full | Computing the continuous discretely integer-point enumeration in polyhedra Matthias Beck ; Sinai Robins |
title_fullStr | Computing the continuous discretely integer-point enumeration in polyhedra Matthias Beck ; Sinai Robins |
title_full_unstemmed | Computing the continuous discretely integer-point enumeration in polyhedra Matthias Beck ; Sinai Robins |
title_short | Computing the continuous discretely |
title_sort | computing the continuous discretely integer point enumeration in polyhedra |
title_sub | integer-point enumeration in polyhedra |
topic | Mathematics Computer mathematics Convex geometry Discrete geometry Number theory Combinatorics Number Theory Diskrete Mathematik - Diskrete Geometrie - Polyeder - Gitterpunkt Convex and Discrete Geometry Computational Science and Engineering Mathematik Diskrete Geometrie (DE-588)4130271-0 gnd Gitterpunkt (DE-588)4157384-5 gnd Kontinuum Mathematik (DE-588)4846105-2 gnd Polyeder (DE-588)4132101-7 gnd Gitterpunktproblem (DE-588)4157387-0 gnd Diskrete Mathematik (DE-588)4129143-8 gnd |
topic_facet | Mathematics Computer mathematics Convex geometry Discrete geometry Number theory Combinatorics Number Theory Diskrete Mathematik - Diskrete Geometrie - Polyeder - Gitterpunkt Convex and Discrete Geometry Computational Science and Engineering Mathematik Diskrete Geometrie Gitterpunkt Kontinuum Mathematik Polyeder Gitterpunktproblem Diskrete Mathematik |
url | https://doi.org/10.1007/978-1-4939-2969-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632896&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT beckmatthias computingthecontinuousdiscretelyintegerpointenumerationinpolyhedra AT robinssinai computingthecontinuousdiscretelyintegerpointenumerationinpolyhedra |