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Gauge Theory and Variational Principles
by David Bleecker

ISBN: 0486445461
Dover Publications Price: $12.95
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Detailed and self-contained, this text supplements its rigor with intuitive ideas and is geared toward beginning graduate students and advanced undergraduates. Topics include principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition
Republication of the Reading, MA, 1981 edition.

Table of Contents for Gauge Theory and Variational Principles
0. Preliminaries
1. Principal Fiber Bundles and Connections
2. Curvature and G-Valued Differential Forms
3. Particle Fields, Lagrangians, Gauge Invariance
4. Lagrange’s Equation for Particle Fields
5. The Inhomogeneous Field Equation
6. Free Dirac Electron Fields
7. Interactions
8. Calculus on Frame Bundle
9. Unification of Gauge Fields and Gravitation
10. Additional Topics
References
Selected Bibliography
Index of Notation
Index

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