This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many 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...
This text gives a step-by-step approach to conics, cubics, more general curves, and rational surfaces. This approach to geometry has many practical applications in engineering analysis (such as CAD/CAM), approximation, and curve plotting. Thus the emphasis is on methods that can be used computationally. The authors start with simple interpolation, including splines. In an intuitive fashion they extend these simple procedures to the production of conic sections and...
"The whole thing is fascinating...a delightful way to introduce students to the subject." MAA Online
"This work serves quite well as a textbook on algebraic and projective geometry and their applications to computer-aided design." Mathematical Reviews
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