| 書目名稱 | Geometry Revealed | | 副標題 | A Jacob‘s Ladder to | | 編輯 | Marcel Berger | | 視頻video | http://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 | | 圖書封面 |  | | 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 | | doi | https://doi.org/10.1007/978-3-540-70997-8 | | isbn_softcover | 978-3-662-50122-1 | | isbn_ebook | 978-3-540-70997-8 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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