Geometry and Interpolation of Curves and Surfaces - Image 1

£119.39

Cambridge University Press Geometry and Interpolation of Curves and Surfaces

Name: Geometry and Interpolation of Curves and Surfaces
Brand: Cambridge University Press
Price: 119.39 GBP
Availability: InStock

Computing & Internet

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Description

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. They then introduce projective co-ordinates as tools for dealing with higher order curves and singular points. They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. In the final chapter they apply the basic theory to the construction of finite element basis functions and surface interpolants over non-regular shapes. Review Review of the hardback: 'The authors have displayed considerable erudition and ability in dealing with a difficult topic. Their practical, step-by-step approach to algebraic curves and surface interpolation is very commendable in view of the complexity of the subject.' J. A. Prescott, RoboticaReview of the hardback: 'This looks like a delightful way to introduce students to the subject.' The Mathematical Association of AmericaReview of the hardback: '… an elegant and serious introduction to the basic concepts and results of (elementary) algebraic geometry.' European Maths Society Journal Book Description This text gives a step-by-step approach to the production of conics, cubics, more general curves, and rational surfaces.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521321530
Category: Books > Subjects > Computing & Internet
Domain: Amazon UK
Release Date: 13 July 1998
Listed Since: 22 January 2007

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Cambridge University Press Geometry and Interpolation of Curves and Surfaces

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