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Field name	Details
Dewey Class	516
Title	Classical Topics in Discrete Geometry (EB) / by Károly Bezdek.
Author	Bezdek, Károly
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2010.
Physical Details	XIV, 166 pages : online resource.
Series	CMS Books in Mathematics, Ouvrages de mathématiques de la SMC 1613-5237
ISBN	9781441906007
Summary Note	About the author: Karoly Bezdek received his Dr.rer.nat.(1980) and Habilitation (1997) degrees in mathematics from the EÃ¶tvÃ¶s LorÃ¡nd 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.:
Contents note	Preface -- Part I -- 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 Finie Arrangements of Spheres -- Ball-Polyhedra as Interesctions of Congruent Balls -- Part II -- Selected Proofs on Sphere Packagings -- Selected Proofs on Finite Packagings of Translates of Convex Bodies -- Selected Proofs on Illumination and Related Topics -- Selected Proofs on Coverings by Planks and Cylinders -- Selected Proofs on the Kesner-Poulsen Conjecture -- Selected Proofs on Ball-Polyhedra -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-0600-7
Links to Related Works	Subject References: Geometry . Mathematics . Authors: Bezdek, Károly . Corporate Authors: SpringerLink (Online service) . Series: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC . Classification: 516 . 516 .

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Classical Topics in Discrete Geometry

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