cardiopulmonary 发表于 2025-3-25 05:25:11

The Isoperimetric Inequality and Related InequalitiesIn this chapter the isoperimetric inequality and related inequalities will be discussed.

嘲笑 发表于 2025-3-25 07:53:12

The Elementary Concept of Area and VolumeIn elementary geometry area (volume) is defined in the following manner:

right-atrium 发表于 2025-3-25 14:26:25

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声明 发表于 2025-3-25 17:22:18

Differential Geometry of Surfaces in the Small The following notation will be used:There will be a “parameter plane”, E., with Cartesian coordinates (u,v) or (u.,u.) and a Euclidean space E. with Cartesian coordinates (x,y,z) or (x.,x.,x.).

jungle 发表于 2025-3-25 23:43:46

Some General Remarks on Closed Surfaces in Differential GeometryAs a general reference to the topological material covered in this chapter, see Seifert-Threlfall: Lehrbuch der Topologie.

配偶 发表于 2025-3-26 03:50:43

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exclamation 发表于 2025-3-26 07:55:58

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联邦 发表于 2025-3-26 08:29:47

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忧伤 发表于 2025-3-26 16:06:00

The Congruence Theorem for OvaloidsLet S and S* be two isometric surfaces (see I, 2.6). Let h be the isometry between S and S* and let u, v be parameters such that X(u,v) and X*(u,v) are corresponding points under the map h . Then S and S* have the same first fundamental forms; i.e. ..

受辱 发表于 2025-3-26 19:45:23

Lecture Notes in Mathematicshttp://image.papertrans.cn/d/image/278761.jpg
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查看完整版本: Titlebook: Differential Geometry in the Large; Seminar Lectures New Heinz Hopf Book 19831st edition Springer-Verlag Berlin Heidelberg 1983 Geometrie.G