Geometry Revealed

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Omschrijving

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 ...
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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 Jacobs ladder with its rungs: the ladder in the Old Testament, that angels ascended and descended...In all this, the aim of the book is to 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.
Uitgever Springer Verlag
Druk 1
ISBN/EAN 9783540709961
Auteur Berger, M.
Vakken Wiskunde

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