A TOPOLOGICAL APERITIF
Stephen Jordan David Huggett
Oprawa:
MIĘKKA
Wydawca:
Springer London
ISBN:
9781848009127
Opis produktu
TopologyhasbeenreferredtoasrubbersheetgeometryŁ.Thenameisaptfor 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. Ones ?rst reaction might be that such animprecisesoundingsubjectcouldhardlybepartofseriousmathematicsand wouldbeunlikelytohaveapplicationsbeyondtheamusementofsimpleparlour games. This reaction could hardly be further from the truth. Topology is one of the most important and broadranging 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 elementarylThis second edition of Huggett and Jordans popular work allows geometry to guide calculation. The book starts with a wealth of examples often subtle of how to be mathematically certain whether two objects are the same from the point of view of topTopologyhasbeenreferredtoasrubbersheetgeometryŁ.Thenameisaptfor 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. Ones ?rst reaction might be that such animprecisesoundingsubjectcouldhardlybepartofseriousmathematicsand wouldbeunlikelytohaveapplicationsbeyondtheamusementofsimpleparlour games. This reaction could hardly be further from the truth. Topology is one of the most important and broadranging 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 represenWymiary: 299 gr 178 mm 235 mm
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Ostatnia aktualizacja:
02-04-2024