Overview
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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Details
- ISBN-13: 9780471588900
- ISBN-10: 0471588903
- Publisher: John Wiley & Sons
- Publish Date: October 1995
- Dimensions: 9.54 x 6.46 x 0.95 inches
- Shipping Weight: 1.57 pounds
- Page Count: 384
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