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The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback)) - Softcover

 
9780521066747: The Foundations of Differential Geometry (Cambridge Tracts in Mathematics (Paperback))

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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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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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Whitehead, J. H. C., Veblen, T., Veblen, Oswald
Published by Cambridge University Press, 1932
ISBN 10: 0521066743 ISBN 13: 9780521066747
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Veblen, Oswald, Whitehead, J. H. C.
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ISBN 10: 0521066743 ISBN 13: 9780521066747
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Condition: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, Oct. 6 (sale 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

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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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521066747

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Paperback. Condition: New. 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. Seller Inventory # LU-9780521066747

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