Geometry revealed

Marcel Berger

831 pages, parution le 09/08/2010

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Résumé

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 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. It is also shown that there are innumerable paths yet to be explored and concepts to be created. The book is visually rich and inviting, so that readers may open it at random places and find much pleasure throughout according their own intuitions and inclinations.

L'auteur - Marcel Berger

Marcel Berger est directeur de recherches émérite au CNRS. Il a été professeur des universités à Strasbourg, Nice et Paris et directeur de l'Institut des Hautes études scientifiques (IHES). Il a fondé l'école française contemporaine de géométrie différentielle.

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Géométrie 1

Géométrie

Géométrie différentielle

Convexité dans le plan, dans l'espace et au-delà - Volume 2

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Marcel Berger
Parution	09/08/2010
Nb. de pages	831
Format	15 x 23
Couverture	Broché
Poids	1365g
Intérieur	Noir et Blanc
EAN13	9783540709961