Geometry Revealed A Jacob's Ladder to Modern Higher Geometry

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  • Engels
  • Hardcover
  • 9783540709961
  • 02 augustus 2010
  • 831 pagina's
Alle productspecificaties

Samenvatting

This inviting and visually rich book is the latest work of well known mathematician Marcel Berger. He aims to demonstrate to readers the renewed spirit of geometry, and reveals that even so-called "elementary" geometry is very much alive.

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.

Marcel Berger is t

he author of numerous successful books on geometry, this book once again is addressed to all students and teachers of mathematics with an affinity for geometry.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
02 augustus 2010
Aantal pagina's
831
Illustraties
Nee

Betrokkenen

Hoofdauteur
Marcel Berger
Tweede Auteur
Marcel Berger

Vertaling

Eerste Vertaler
Lester J. Senechal

Overige kenmerken

Extra groot lettertype
Nee
Product breedte
163 mm
Product hoogte
45 mm
Product lengte
256 mm
Studieboek
Ja
Verpakking breedte
162 mm
Verpakking hoogte
51 mm
Verpakking lengte
238 mm
Verpakkingsgewicht
1637 g

EAN

EAN
9783540709961
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Bindwijze : Hardcover

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