Product Information
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.Product Identifiers
PublisherCambridge University Press
ISBN-139780521066747
eBay Product ID (ePID)96048128
Product Key Features
Number of Pages108 Pages
Publication NameThe Foundations of Differential Geometry
LanguageEnglish
SubjectMathematics
Publication Year1932
TypeTextbook
AuthorOswald Veblen, J. H. C. Whitehead
FormatPaperback
Dimensions
Item Height217 mm
Item Weight150 g
Additional Product Features
Country/Region of ManufactureUnited Kingdom
Title_AuthorOswald Veblen, J. H. C. Whitehead