Holdings: Computing the continuous discretely

Computing the continuous discretely: integer-point enumeration in polyhedra

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Bibliographic Details
Main Authors:	Beck, Matthias 1970- (Author), Robins, Sinai (Author)
Format:	Electronic eBook
Language:	English
Published:	New York ; Heidelberg ; Dodrecht ; London Springer [2015]
Edition:	Second edition
Series:	Undergraduate texts in mathematics
Subjects:	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
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	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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Record in the Search Index

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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.
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author	Beck, Matthias 1970- Robins, Sinai
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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

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