Kniha Foundations of Differential Geometry Oswald Veblen

Foundations of Differential Geometry

Autor: Oswald Veblen
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 14-21 dnů
1 210
This book contains a set of axioms for differential geometry and develops their consequences up to a...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2008
Stránek
108
EAN
9780521066747
ISBN
0521066743
Enbook ID
04090075
Hmotnost
150
Rozměry
143 x 217 x 7

Kompletní popis

This book contains a set of axioms for differential geometry and develops their consequences up to a point where a more advanced book might reasonably begin. Analytical operations with co-ordinate systems are continually used in differential geometry, a typical process being to 'choose a co-ordinate system such that ...' It is therefore natural to state the axioms in terms of an undefined class of 'allowable' co-ordinate systems, and to deduce the properties of the space from the nature of the transformations of co-ordinates permitted by the axioms. These earlier axioms are found to be adequate for the differential geometry of an open simply connected space, the most elementary theorems of which occupy the greater part of Chapters III-V. The more general axioms, in terms of allowable co-ordinate systems and without restrictions on the connectivity of the space, are given in Chapter IV.

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