# Applicable Differential Geometry

## Crampin, M.; Pirani, F. A. E.

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This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students.

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Descrizione del libro:

Applicable Differential Geometry is an introduction to geometrical topics which are useful in applied mathematics and theoretical physics. It discusses the geometry of affine spaces which is appropriate for the theory of special relativity as well as to Newtonian mechanics, as well as the geometry of manifolds, employed in general relativity and gauge field theory.

Contenuti:

The background: vector calculus; 1. Affine spaces; 2. Curves, functions and derivatives; 3. Vector fields and flows; 4. Volumes and subspaces: exterior algebra; 5. Calculus of forms; 6. Frobenius's theorem; 7. Metrics on affine spaces; 8. Isometrics; 9. Geometry of surfaces; 10. Manifolds; 11. Connections; 12. Lie groups; 13. The tangent and cotangent bundles; 14. Fibre bundles; 15. Connections revisited.

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## 1.Applicable Differential Geometry (London Mathematical Society Lecture Note Series)

Editore: Cambridge University Press (1987)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro Cambridge University Press, 1987. Paperback. Condizione libro: New. Codice libro della libreria SONG0521231906

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## 2.Applicable Differential Geometry (London Mathematical Society Lecture Note Series)

Editore: Cambridge University Press (2017)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro Cambridge University Press, 2017. Paperback. Condizione libro: New. This item is printed on demand. Codice libro della libreria P110521231906

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## 3.Applicable Differential Geometry

Editore: Cambridge University Press 1987-04 (1987)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro Cambridge University Press 1987-04, 1987. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06850603

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## 4.Applicable Differential Geometry (Paperback)

Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1987)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1987. Paperback. Condizione libro: New. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students. Codice libro della libreria AAV9780521231909

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## 5.Applicable Differential Geometry (Paperback)

Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1987)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1987. Paperback. Condizione libro: New. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students. Codice libro della libreria AAV9780521231909

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## 6.Applicable Differential Geometry

Editore: Cambridge University Press (1987)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro Cambridge University Press, 1987. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780521231909

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## 7.Applicable Differential Geometry

Editore: Cambridge University Press (2016)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro Cambridge University Press, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780521231909_lsuk

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## 8.Applicable Differential Geometry

ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro 1987. Paperback. Condizione libro: NEW. 9780521231909 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0451764

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## 9.Applicable Differential Geometry

Editore: Cambridge University Press (1987)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro Cambridge University Press, 1987. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780521231909

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## 10.Applicable Differential Geometry (London Mathematical Society Lecture Note Series)

Editore: Cambridge University Press (1987)
ISBN 10: 0521231906 ISBN 13: 9780521231909
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Descrizione libro Cambridge University Press, 1987. Paperback. Condizione libro: New. Codice libro della libreria DADAX0521231906

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