Ebook Info
- Published: 1932
- Number of pages: 108 pages
- Format: PDF
- File Size: 7.68 MB
- Authors: Oswald Veblen
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. 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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Editorial Reviews: 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.
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Keywords
Free Download The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback)) 1st Edition in PDF format
The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback)) 1st Edition PDF Free Download
Download The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback)) 1st Edition 1932 PDF Free
The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback)) 1st Edition 1932 PDF Free Download
Download The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback)) 1st Edition PDF
Free Download Ebook The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback)) 1st Edition
