Lectures on sphere arrangements - the discrete geometric side:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Toronto]
<<The>> Fields Institute for Research in the Mathematical Sciences
2013
New York, NY [u.a.] Springer |
| Schriftenreihe: | Fields Institute monographs
32 |
| Online-Zugang: | DE-634 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461481171 9781461481188 |
| DOI: | 10.1007/978-1-4614-8118-8 |
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Datensatz im Suchindex
| _version_ | 1805078508146262016 |
|---|---|
| adam_text |
LECTURES ON SPHERE ARRANGEMENTS – THE DISCRETE GEOMETRIC SIDE
/ BEZDEK, KAROLY
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. UNIT SPHERE PACKINGS
2. PROOFS ON UNIT SPHERE PACKINGS
3. CONTRACTIONS OF SPHERE ARRANGEMENTS
4. PROOFS ON CONTRACTIONS OF SPHERE ARRANGEMENTS
5. BALL-POLYHEDRA AND SPINDLE CONVEX BODIES
6. PROOFS ON BALL-POLYHEDRA AND SPINDLE CONVEX BODIES
7. COVERINGS BY CYLINDERS
8. PROOFS ON COVERINGS BY CYLINDERS
9. RESEARCH PROBLEMS - AN OVERVIEW
GLOSSARY
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LECTURES ON SPHERE ARRANGEMENTS – THE DISCRETE GEOMETRIC SIDE
/ BEZDEK, KAROLY
: 2013
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH GIVES A SHORT INTRODUCTION TO PARTS OF MODERN DISCRETE
GEOMETRY, IN ADDITION TO LEADING THE READER TO THE FRONTIERS OF
GEOMETRIC RESEARCH ON SPHERE ARRANGEMENTS. THE READERSHIP IS AIMED AT
ADVANCED UNDERGRADUATE AND EARLY GRADUATE STUDENTS, AS WELL AS
INTERESTED RESEARCHERS. IT CONTAINS 30 OPEN RESEARCH PROBLEMS IDEAL
FOR GRADUATE STUDENTS AND RESEARCHERS IN MATHEMATICS AND COMPUTER
SCIENCE. ADDITIONALLY, THIS BOOK MAY BE CONSIDERED IDEAL FOR A
ONE-SEMESTER ADVANCED UNDERGRADUATE OR GRADUATE LEVEL COURSE. THE
CORE OF THIS BOOK IS BASED ON THREE LECTURES GIVEN BY THE AUTHOR AT THE
FIELDS INSTITUTE DURING THE THEMATIC PROGRAM ON DISCRETE GEOMETRY AND
APPLICATIONS AND CONTAINS FOUR BASIC TOPICS. THE FIRST TWO DEAL WITH
ACTIVE AREAS THAT HAVE BEEN OUTSTANDING FROM THE BIRTH OF DISCRETE
GEOMETRY, NAMELY DENSE SPHERE PACKINGS AND TILINGS. SPHERE PACKINGS AND
TILINGS HAVE A VERY STRONG CONNECTION TO NUMBER THEORY, CODING, GROUPS,
AND MATHEMATICAL PROGRAMMING. EXTENDING THE TRADITION OF STUDYING
PACKINGS OF SPHERES IS THE INVESTIGATION OF THE MONOTONICITY OF VOLUME
UNDER CONTRACTIONS OF ARBITRARY ARRANGEMENTS OF SPHERES. THE THIRD MAJOR
TOPIC CAN BE FOUND UNDER THE SECTIONS ON BALL-POLYHEDRA THAT STUDY THE
POSSIBILITY OF EXTENDING THE THEORY OF CONVEX POLYTOPES TO THE FAMILY OF
INTERSECTIONS OF CONGRUENT BALLS. THIS SECTION OF THE TEXT IS CONNECTED
IN MANY WAYS TO THE ABOVE-MENTIONED MAJOR TOPICS AS WELL AS TO SOME
OTHER IMPORTANT RESEARCH AREAS SUCH AS THAT ON COVERINGS BY PLANKS (WITH
CLOSE TIES TO GEOMETRIC ANALYSIS). THE FOURTH BASIC TOPIC IS DISCUSSED
UNDER COVERING BALLS BY CYLINDERS.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
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| author | Bezdek, Károly 1955- |
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| dewey-full | 610 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 610 - Medicine and health |
| dewey-raw | 610 |
| dewey-search | 610 |
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| discipline | Mathematik Medizin |
| doi_str_mv | 10.1007/978-1-4614-8118-8 |
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| spelling | Bezdek, Károly 1955- Verfasser (DE-588)1163838543 aut Lectures on sphere arrangements - the discrete geometric side Károly Bezdek [Toronto] <<The>> Fields Institute for Research in the Mathematical Sciences 2013 New York, NY [u.a.] Springer 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Fields Institute monographs 32 Fields Institute monographs 32 (DE-604)BV044757996 32 https://doi.org/10.1007/978-1-4614-8118-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026823898&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=026823898&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Bezdek, Károly 1955- Lectures on sphere arrangements - the discrete geometric side Fields Institute monographs |
| title | Lectures on sphere arrangements - the discrete geometric side |
| title_auth | Lectures on sphere arrangements - the discrete geometric side |
| title_exact_search | Lectures on sphere arrangements - the discrete geometric side |
| title_full | Lectures on sphere arrangements - the discrete geometric side Károly Bezdek |
| title_fullStr | Lectures on sphere arrangements - the discrete geometric side Károly Bezdek |
| title_full_unstemmed | Lectures on sphere arrangements - the discrete geometric side Károly Bezdek |
| title_short | Lectures on sphere arrangements - the discrete geometric side |
| title_sort | lectures on sphere arrangements the discrete geometric side |
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