Applicable Differential Geometry (London Mathematical Society Lecture Note Series, Series Number 59) - Softcover

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

Softcover

ISBN 10: 0521231906 ISBN 13: 9780521231909

Publisher: Cambridge University Press, 1987

Synopsis

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.

About this title

From the Back Cover

This is an introduction to geometrical topics useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing the reader for the study of modern treatments of mechanics, gauge field theories, relativity and gravitation.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1987
• Language: English
• ISBN 10: 0521231906
• ISBN 13: 9780521231909
• Binding: Paperback
• Edition number: 1
• Number of pages: 404