Geometric probability / Herbert Solomon.
By: Solomon, Herbert
.
Contributor(s): Conference Board of the Mathematical Sciences.
Material type: 
BookSeries: CBMS-NSF regional conference series in applied mathematics ; 28.Publisher: Philadelphia : Society for Industrial and Applied Mathematics, 1987Description: vi, 174 p. : graphs ; 25 cm. + pbk.ISBN: 0898710251.Subject(s): Geometric probabilitiesDDC classification: 516.362 | Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
| General Lending | MTU Bishopstown Library Lending | 516.362 (Browse shelf(Opens below)) | 1 | Available | 00041245 |
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Enhanced descriptions from Syndetics:
Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W. L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M. W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph.
Includes bibliographical references (pages 173-174).
Buffon needle problem, extensions and estimation of pie -- Density and measure for random geometric elements -- Random lines in the plane and applications -- Covering a circle circumference and a sphere surface -- Crofton's theorem and Sylvester's problem in two and three dimensions -- Random chords in the circle and the sphere.