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Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I

Modern Differential Geometry in Gauge Theories: Maxwell Fields, Volume I

Paperback

Series: Progress in Mathematical Physics, Book 1201

GeometryPhysics

ISBN10: 0817643788
ISBN13: 9780817643782
Publisher: Birkhauser
Published: Dec 14 2005
Pages: 293
Weight: 0.89
Height: 0.53 Width: 9.19 Depth: 6.21
Language: English

This 2-volume research monograph presents a new kind of modern differential geometry approach to such physical theories as gauge theory. Sheaf theory (geometry) and sheaf cohomology (analysis) are used to explain all the machinary of classical differential geometry without any notion of smoothness. Together they present Maxwell fields, Yang-Mills fields and general relativity. These texts contains a treasure trove of minutely detailed and rigorous computations. This original work will appeal to advanced undergraduates, graduate students, mathematicians and physicists interested in applications of differential geometry to physical theories.

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