Applicable Differential Geometry

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. Additional ISBNs 0521231906, 110710758X, 9780521231909, 9781107107588Applicable Differential Geometry 1st Edition is written by M. Crampin; F. A. E. Pirani and published by Cambridge University Press. ISBNs for Applicable Differential Geometry are 9781107107588, 110710758X and the print ISBNs are 9780521231909, 0521231906. Additional ISBNs include 0521231906, 110710758X, 9780521231909, 9781107107588.