Geometry Revealed - download pdf or read online

By Lester J. Senechal

ISBN-10: 3540709967

ISBN-13: 9783540709961

ISBN-10: 3662501228

ISBN-13: 9783662501221

either classical geometry and glossy differential geometry were energetic matters of analysis in the course of the twentieth century and lie on the middle of many contemporary advances in arithmetic and physics. The underlying motivating notion for the current ebook is that it deals readers the weather of a latest geometric tradition through a complete sequence of visually attractive unsolved (or lately solved) difficulties that require the production of recommendations and instruments of various abstraction. beginning with such traditional, classical items as traces, planes, circles, spheres, polygons, polyhedra, curves, surfaces, convex units, etc., an important principles and in particular summary thoughts wanted for reaching the consequences are elucidated. those are conceptual notions, every one equipped 'above' the previous and allowing a rise in abstraction, represented metaphorically through Jacob's ladder with its rungs: the 'ladder' within the outdated testomony, that angels ascended and descended...In all this, the purpose of the booklet is to illustrate to readers the unceasingly renewed spirit of geometry and that even so-called 'elementary' geometry is especially a lot alive and on the very center of the paintings of diverse modern mathematicians. it's also proven that there are innumerable paths but to be explored and ideas to be created. The ebook is visually wealthy and alluring, in order that readers could open it at random areas and locate a lot excitement all through in accordance their very own intuitions and inclinations.Marcel Berger is the writer of diverse winning books on geometry, this ebook once more is addressed to all scholars and lecturers of arithmetic with an affinity for geometry.

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Geometry Revealed by Lester J. Senechal


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