| Author: mangmouw | 8 June 2009 | Views: 0 |
 Anastasios Mallios - Modern Differential Geometry in Gauge Theories
Birkhauser | 2006 | ISBN: 0817644741 | Pages: 302 | PDF | 1.25 MB
Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the
author's perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus
(smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology
(analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers
new perspectives and calculations that generate unexpected potential applications.
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