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OverviewPlease note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. High Quality Content by WIKIPEDIA articles! In mathematics, a plane curve is a curve in a Euclidian plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. A smooth plane curve is a curve in a real Euclidian plane R2 and is a one-dimensional smooth manifold. Equivalently, a smooth plane curve can be given locally by an equation AE'(x,y) = 0, where AE' : R2 a ' R is a smooth function, and the partial derivatives aeCAE'/aeCx and aeCAE'/aeCy are never both 0. In other words, a smooth plane curve is a plane curve which locally looks like a line with respect to a smooth change of coordinates. An algebraic plane curve is a curve in an affine or projective plane given by one polynomial equation AE'(x,y) = 0 (or AE'(x,y,z) = 0, where AE' is a homogeneous polynomial, in the projective case.) Full Product DetailsAuthor: Lambert M. Surhone , Miriam T. Timpledon , Susan F. MarsekenPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.60cm , Length: 15.20cm Weight: 0.159kg ISBN: 9786131167737ISBN 10: 6131167737 Pages: 100 Publication Date: 10 August 2010 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 |
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