The Resource Classical Topics in Discrete Geometry, by Károly Bezdek, (electronic resource)

Classical Topics in Discrete Geometry, by Károly Bezdek, (electronic resource)

Label
Classical Topics in Discrete Geometry
Title
Classical Topics in Discrete Geometry
Statement of responsibility
by Károly Bezdek
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
About the author: Karoly Bezdek received his Dr.rer.nat.(1980) and Habilitation (1997) degrees in mathematics from the Eötvös Loránd University, in Budapest and his Candidate of Mathematical Sciences (1985) and Doctor of Mathematical Sciences (1994) degrees from the Hungarian Academy of Sciences. He is the author of more than 100 research papers and currently he is professor and Canada Research Chair of mathematics at the University of Calgary. About the book: This multipurpose book can serve as a textbook for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers of the most recent research developments in the classical core part of discrete geometry. Finally, the forty-some selected research problems offer a great chance to use the book as a short problem book aimed at advanced undergraduate and graduate students as well as researchers. The text is centered around four major and by now classical problems in discrete geometry. The first is the problem of densest sphere packings, which has more than 100 years of mathematically rich history. The second major problem is typically quoted under the approximately 50 years old illumination conjecture of V. Boltyanski and H. Hadwiger. The third topic is on covering by planks and cylinders with emphases on the affine invariant version of Tarski's plank problem, which was raised by T. Bang more than 50 years ago. The fourth topic is centered around the Kneser-Poulsen Conjecture, which also is approximately 50 years old. All four topics witnessed very recent breakthrough results, explaining their major role in this book
Member of
Is Subseries of
http://library.link/vocab/creatorName
Bezdek, Károly
Dewey number
516.11
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
RADbO8Vvt6c
Language note
English
LC call number
QA440-699
Literary form
non fiction
Nature of contents
dictionaries
Series statement
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
http://library.link/vocab/subjectName
  • Geometry
  • Geometry
Label
Classical Topics in Discrete Geometry, by Károly Bezdek, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [153]-163)
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Classical Topics Revisited -- Sphere Packings -- Finite Packings by Translates of Convex Bodies -- Coverings by Homothetic Bodies - Illumination and Related Topics -- Coverings by Planks and Cylinders -- On the Volume of Finite Arrangements of Spheres -- Ball-Polyhedra as Intersections of Congruent Balls -- Selected Proofs -- Selected Proofs on Sphere Packings -- Selected Proofs on Finite Packings of Translates of Convex Bodies -- Selected Proofs on Illumination and Related Topics -- Selected Proofs on Coverings by Planks and Cylinders -- Selected Proofs on the Kneser–Poulsen Conjecture -- Selected Proofs on Ball-Polyhedra
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (170 p.)
Form of item
online
Isbn
9781441906007
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-0600-7
Specific material designation
remote
System control number
  • (CKB)2480000000005715
  • (EBL)3065418
  • (SSID)ssj0000449187
  • (PQKBManifestationID)11280727
  • (PQKBTitleCode)TC0000449187
  • (PQKBWorkID)10428836
  • (PQKB)11573251
  • (DE-He213)978-1-4419-0600-7
  • (MiAaPQ)EBC3065418
  • (EXLCZ)992480000000005715
Label
Classical Topics in Discrete Geometry, by Károly Bezdek, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [153]-163)
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Classical Topics Revisited -- Sphere Packings -- Finite Packings by Translates of Convex Bodies -- Coverings by Homothetic Bodies - Illumination and Related Topics -- Coverings by Planks and Cylinders -- On the Volume of Finite Arrangements of Spheres -- Ball-Polyhedra as Intersections of Congruent Balls -- Selected Proofs -- Selected Proofs on Sphere Packings -- Selected Proofs on Finite Packings of Translates of Convex Bodies -- Selected Proofs on Illumination and Related Topics -- Selected Proofs on Coverings by Planks and Cylinders -- Selected Proofs on the Kneser–Poulsen Conjecture -- Selected Proofs on Ball-Polyhedra
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (170 p.)
Form of item
online
Isbn
9781441906007
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-0600-7
Specific material designation
remote
System control number
  • (CKB)2480000000005715
  • (EBL)3065418
  • (SSID)ssj0000449187
  • (PQKBManifestationID)11280727
  • (PQKBTitleCode)TC0000449187
  • (PQKBWorkID)10428836
  • (PQKB)11573251
  • (DE-He213)978-1-4419-0600-7
  • (MiAaPQ)EBC3065418
  • (EXLCZ)992480000000005715

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