Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I: 1201 (Progress in Mathematical Physics) - Image 1

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Birkhauser Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I: 1201 (Progress in Mathematical Physics)

Name: Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I: 1201 (Progress in Mathematical Physics)
Brand: Birkhauser
Price: 81.07 GBP
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Engineering Physics

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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. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general. Thetext contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity.

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 0817643788
Category: Books > Subjects > Science, Nature & Maths > Engineering & Technology > Engineering Physics
Domain: Amazon UK
Release Date: 14 December 2005
Listed Since: 26 January 2007

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Birkhauser Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I: 1201 (Progress in Mathematical Physics)

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