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Combinatorial Geometry

by Janos Pach

  • ISBN: 9780471588900
  • ISBN10: 0471588903

Combinatorial Geometry

by Janos Pach

  • List Price: $206.00
  • Binding: Hardcover
  • Edition: 1
  • Publisher: John Wiley & Sons Inc
  • Publish date: 10/01/1995
  • ISBN: 9780471588900
  • ISBN10: 0471588903
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Description: How many objects of a given shape and size can be packed into a large box of fixed volume? Can one plant n trees in an orchard, not all along the same line, so that every line determined by two trees will pass through a third? These questions, raised by Hilbert and Sylvester roughly one hundred years ago, have generated a lot of interest among professional and amateur mathematicians and scientists. They have led to the birth of a new mathematical discipline with close ties to classical geometry and number theory, and with many applications in coding theory, potential theory, computational geometry, computer graphics, robotics, etc. Combinatorial Geometry offers a self-contained introduction to this rapidly developing field, where combinatorial and probabilistic (counting) methods play a crucial role.
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