000 03765nam a22004335i 4500
001 978-1-4419-0600-7
003 DE-He213
005 20140220084502.0
007 cr nn 008mamaa
008 100623s2010 xxu| s |||| 0|eng d
020 _a9781441906007
_9978-1-4419-0600-7
024 7 _a10.1007/978-1-4419-0600-7
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
100 1 _aBezdek, Károly.
_eauthor.
245 1 0 _aClassical Topics in Discrete Geometry
_h[electronic resource] /
_cby Károly Bezdek.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aXIV, 166p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
_x1613-5237
505 0 _aClassical 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.
520 _aAbout 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.
650 0 _aMathematics.
650 0 _aGeometry.
650 1 4 _aMathematics.
650 2 4 _aGeometry.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441905994
830 0 _aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
_x1613-5237
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-0600-7
912 _aZDB-2-SMA
999 _c110222
_d110222