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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.
"synopsis" may belong to another edition of this title.
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.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1932
- ISBN 10 0521066743
- ISBN 13 9780521066747
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages108
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The Foundations of Differential Geometry (Cambridge Tracts in Mathematical Physics, No. 29)
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Cambridge University Press, 1953
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback))
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Cambridge University Press, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry
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Cambridge University Press CUP, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry
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Cambridge University Press 1932-03, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback))
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Cambridge University Press, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry
Published by
Cambridge University Press, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry (Paperback)
Published by
Cambridge University Press, Cambridge, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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Paperback. Condition: new. Paperback. 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 IIIV. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521066747
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The Foundations of Differential Geometry
Published by
Cambridge University Press, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry
Published by
Cambridge University Press, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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The Foundations of Differential Geometry
Published by
Cambridge University Press, 1932
ISBN 10: 0521066743
ISBN 13: 9780521066747
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