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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Foundations of Differential Geometry

The Foundations of Differential Geometry

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

Paperback

Series: Cambridge Tracts in Mathematics (Paperback)

General Mathematics

ISBN10: 0521066743
ISBN13: 9780521066747
Publisher: Cambridge University Press
Published: Jan 3 1932
Pages: 108
Weight: 0.32
Height: 0.28 Width: 5.62 Depth: 8.56
Language: English
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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