MARC Record from harvard_bibliographic_metadata

LEADER: 03004cam a2200409 a 4500
001 012564255-5
005 20121006022334.0
008 100419s2010 nyu b 000 0 eng
015 $aGBB053082$2bnb
016 7 $a015535630$2Uk
020 $a9781441905994 (hbk.)
020 $a1441905995 (hbk.)
020 $a9781441906007 (e-ISBN)
020 $a1441906002 (e-ISBN)
035 0 $aocn436031056
040 $aUKM$cUKM$dBTCTA$dYDXCP$dC#P$dBWX$dCDX
050 4 $aQA640.7$b.B49 2010
082 04 $a516.11$222
100 1 $aBezdek, Károly.
245 10 $aClassical topics in discrete geometry /$cKároly Bezdek.
260 $aNew York :$bSpringer,$cc2010.
300 $axiii, 163 p. ;$c25 cm.
490 1 $aCMS books in mathematics,$x1613-5237
504 $aIncludes bibliographical references (p. [153]-163).
520 1 $a"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 emphasis 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."--BOOK JACKET.
505 0 $aSphere packings -- Finite packings by translates of convex bodies -- Coverings by homothetic bodies -- Coverings by planks and cylinders -- On the volume of finite arrangements of spheres -- Ball-polyhedra as intersections of congruent balls -- 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.
650 0 $aDiscrete geometry.
650 0 $aMathematics.
650 0 $aGeometry.
650 14 $aMathematics.
650 24 $aGeometry.
830 0 $aCMS books in mathematics.
830 0 $aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237
899 $a415_565474
988 $a20100907
049 $aCLSL
906 $0OCLC