Titlebook: Elementary Differential Geometry; Andrew Pressley Textbook 20011st edition Springer-Verlag London 2001 Curves and Surfaces.Euclidean Geome

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書目名稱Elementary Differential Geometry影響因子(影響力)




書目名稱Elementary Differential Geometry影響因子(影響力)學(xué)科排名




書目名稱Elementary Differential Geometry網(wǎng)絡(luò)公開度




書目名稱Elementary Differential Geometry網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Elementary Differential Geometry被引頻次




書目名稱Elementary Differential Geometry被引頻次學(xué)科排名




書目名稱Elementary Differential Geometry年度引用




書目名稱Elementary Differential Geometry年度引用學(xué)科排名




書目名稱Elementary Differential Geometry讀者反饋




書目名稱Elementary Differential Geometry讀者反饋學(xué)科排名

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Innocence

https://doi.org/10.1007/978-3-642-98007-7In this chapter we discuss two mathematical formulations of the intuitive notion of a curve. The precise relation between them turns out to be quite subtle, so we shall begin by giving some examples of curves of each type and practical ways of passing between them.

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Curves in the Plane and in Space,In this chapter we discuss two mathematical formulations of the intuitive notion of a curve. The precise relation between them turns out to be quite subtle, so we shall begin by giving some examples of curves of each type and practical ways of passing between them.

輕快帶來(lái)危險(xiǎn)

,Gauss’s Theorema Egregium,One of Gauss’s most important discoveries about surfaces is that the gaussian curvature is unchanged when the surface is bent without stretching. Gauss called this result ‘egregium’, and the Latin word for ‘remarkable’ has remained attached to his theorem ever since.

輕快帶來(lái)危險(xiǎn)

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Indebted

Lexikon der Wirtschaftsinformatikrface patch, is all that is needed for most of the book, it does not describe adequately most of the objects that we would want to call surfaces. For example, a sphere is not a surface patch, but it can be described by gluing two surface patches together suitably. The idea behind this gluing procedu

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https://doi.org/10.1007/978-3-662-08371-0rface. Of course, this will usually be different from the distance between these points as measured by an inhabitant of the ambient three dimensional space, since the straight line segment which furnishes the shortest path between the points in .. will generally not be contained in the surface. The