Applicable Differential Geometry
(Book #59 in the London Mathematical Society Lecture Note Series)
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Book Overview
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.
Format:Paperback
Language:English
ISBN:0521231906
ISBN13:9780521231909
Release Date:April 1987
Publisher:Cambridge University Press
Length:404 Pages
Weight:1.35 lbs.
Dimensions:1.0" x 6.1" x 9.0"
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