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Titlebook: Geometry Revealed; A Jacob‘s Ladder to Marcel Berger Book 2010 Springer-Verlag Berlin Heidelberg 2010 Lattice.contemporary geometry.differ

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發(fā)表于 2025-3-21 18:54:53 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Geometry Revealed
副標(biāo)題A Jacob‘s Ladder to
編輯Marcel Berger
視頻videohttp://file.papertrans.cn/384/383752/383752.mp4
概述Newest work of best known mathematician Marcel Berger.Offers readers elements of a modern geometric culture.Demonstrate the unceasingly renewed spirit of geometry.Visually rich and inviting.Includes s
圖書(shū)封面Titlebook: Geometry Revealed; A Jacob‘s Ladder to  Marcel Berger Book 2010 Springer-Verlag Berlin Heidelberg 2010 Lattice.contemporary geometry.differ
描述.Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of visually appealing unsolved (or recently solved) problems that require the creation of concepts and tools of varying abstraction. Starting with such natural, classical objects as lines, planes, circles, spheres, polygons, polyhedra, curves, surfaces, convex sets, etc., crucial ideas and above all abstract concepts needed for attaining the results are elucidated. These are conceptual notions, each built "above" the preceding and permitting an increase in abstraction, represented metaphorically by Jacob‘s ladder with its rungs: the ‘ladder‘ in the Old Testament, that angels ascended and descended.... .In all this, the aim of the book isto demonstrate to readers the unceasingly renewed spirit of geometry and that even so-called "elementary" geometry is very much alive and at the very heart of the work of numerous contemporary mathematicians
出版日期Book 2010
關(guān)鍵詞Lattice; contemporary geometry; differential geometry; mathematical tools and concepts; polygon; polytope
版次1
doihttps://doi.org/10.1007/978-3-540-70997-8
isbn_softcover978-3-662-50122-1
isbn_ebook978-3-540-70997-8
copyrightSpringer-Verlag Berlin Heidelberg 2010
The information of publication is updating

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978-3-662-50122-1Springer-Verlag Berlin Heidelberg 2010
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https://doi.org/10.1007/978-3-531-90193-0alls. It’s much more subtle than we might think, given the nice roundness and all the symmetriesof the object. Its geometry is indeed not made easier – at least for certain questions – by its being round, ., and bounded , in contrast to the Euclidean plane. Sect. III.3 will be the most representativ
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Das Management der finanziellen Sicherung,ith them for a long time, but talk about the quadrics only very briefly. We hope, however, that the chapter will please many readers. More knowledgeable – but not necessarily omniscient – readers may skip all the beginning material and just look at Sects. IV.8 and IV.9. Here are our motivations: we
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Bernhard M. Hoppe,Thomas Heinzenvexity is extremely natural, so much so that we find it, for example, in works on artArt and anatomyAnatomy without it being defined. Below are two excerpts, one from a book on art (1985) illustrating a modern sculpture; the other, from a classic anatomy reference (Rouvière), describes the extremel
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