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Curves and Surfaces (UNITEXT)

M. Abate, F. Tovena




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 | #4177201 in Books |  2012-05-07 |  2012-05-07 | Original language:English | PDF # 1 |  9.25 x.93 x6.10l,1.45 | File type: PDF | 396 pages

|| ||From the reviews:|“The authors’ goal in writing this book is to present the theory of curves and surfaces from the viewpoint of contemporary mathematics. … New concepts and new definitions are fully motivated, and illustrated by numerous ex

The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theor...

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