Topological Aperitif

Name: Topological Aperitif
Brand: Springer London Ltd
SKU: 9781848009127
Price: 265.47 RON
Availability: InStock

Autor: Stephen Huggett, David Jordan

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Editura: Springer London Ltd

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Topologyhasbeenreferredtoas rubber-sheetgeometry .Thenameisapt,for the subject is concerned with pro...

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Autor

Stephen Huggett, David Jordan

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2009

Pagini

152

EAN

9781848009127

ISBN

1848009127

Enbook ID

01433968

Editura

Springer London Ltd

Greutate

286

Dimensiuni

183 x 238 x 9

Descriere completă

Topologyhasbeenreferredtoas rubber-sheetgeometry .Thenameisapt,for the subject is concerned with properties of an object that would be preserved, no matter how much it is stretched, squashed, or distorted, so long as it is not in any way torn apart or glued together. One s ?rst reaction might be that such animprecise-soundingsubjectcouldhardlybepartofseriousmathematics,and wouldbeunlikelytohaveapplicationsbeyondtheamusementofsimpleparlour games. This reaction could hardly be further from the truth. Topology is one of the most important and broad-ranging disciplines of modern mathematics. It is a subject of great precision and of breadth of development. It has vastly many applications, some of great importance, ranging from particle physics to cosmology, and from hydrodynamics to algebra and number theory. It is also a subject of great beauty and depth. To appreciate something of this, it is not necessary to delve into the more obscure aspects of mathematical formalism. For topology is, at least initially, a very visual subject. Some of its concepts apply to spaces of large numbers of dimensions, and therefore do not easily submit to reasoning that depends upon direct pictorial representation. But even in such cases, important insights can be obtained from the visual - rusal of a simple geometrical con?guration. Although much modern topology depends upon ?nely tuned abstract algebraic machinery of great mathematical sophistication, the underlying ideas are often very simple and can be appre- ated by the examination of properties of elementary-looking drawings.

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