The Foundations of Differential Geometry (Cambridge Tracts in Mathematical Physics, No. 29)

Veblen, Oswald, Whitehead, J. H. C.

ISBN 10: 0521066743 / ISBN 13: 9780521066747

Published by Cambridge University Press, 1953

About this Item

1953 printing; ix, 96 pp., paperback, small hand stamp inside the front cover and to the bottom margin of the half-title page, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Seller Inventory # ZB1311577

Bibliographic Details

• Title: The Foundations of Differential Geometry (Cambridge Tracts in Mathematical Physics, No. 29)
• Publisher: Cambridge University Press
• Publication Date: 1953
• Language: English
• ISBN 10: 0521066743
• ISBN 13: 9780521066747
• Binding: Soft cover
• Condition: Very Good

About this title

Synopsis

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.

Book Description

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.