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Classical topics in discrete geometry / Károly Bezdek.

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Author/Creator:
Bezdek, Károly.
Language:
English.
Publication date:
2010
Imprint:
New York : Springer, c2010.
Format:
  • Book
  • xiii, 163 p. ; 25 cm.
Bibliography:
Includes bibliographical references.
Summary:
"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.
Series:
CMS books in mathematics, 1613-5237
CMS books in mathematics.
Subjects:
ISBN:
9781441905994
1441905995
9781441906007
1441906002
Publisher No.:
12324637

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