Free Delivery Over $100
|
|
|||
|
||||
OverviewA non-Euclidean geometry is characterized by a non-vanishing Riemann curvature tensor-it is the study of shapes and constructions that do not map directly to any n-dimensional Euclidean system. Examples of non-Euclidean geometries include the hyperbolic and elliptic geometry, which are contrasted with a Euclidean geometry. The essential difference between Euclidean and non-Euclidean geometry is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point A, which is not on, there is exactly one line through A that does not intersect . In hyperbolic geometry, by contrast, there are infinitely many lines through A not intersecting, while in elliptic geometry, any line through A intersects (see the entries on hyperbolic geometry, elliptic geometry, and absolute geometry for more information). Full Product DetailsAuthor: Frederic P. Miller , Agnes F. Vandome , John McBrewsterPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.50cm , Length: 15.20cm Weight: 0.142kg ISBN: 9786130261757ISBN 10: 6130261756 Pages: 88 Publication Date: 23 December 2009 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
