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Gauge fields, knots and gravity

Author: John C Baez; Javier P Muniain
Publisher: Singapore : World Scientific, 2011.
Series: Series on knots and everything, 4.
Edition/Format:   Print book : English : ReprView all editions and formats
Summary:

Introduces the mathematics needed to understand gravity. The book includes a rapid course on manifolds and differential forms, and covers: vector bundles, connections and curvature; the relation of  Read more...

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Document Type: Book
All Authors / Contributors: John C Baez; Javier P Muniain
ISBN: 9810217293 9789810217297 9810220340 9789810220341
OCLC Number: 746304650
Description: XII, 465 Seiten : Diagramme.
Contents: Electromagnetism: Maxwell's Equations; Manifolds; Vector Fields and Tangent Vectors; Differential Forms; Rewriting Maxwell's Equations; De Rham Theory in Electromagnetism; Braids, Knots and Electromagnetism; Quantizing the Free Electromagnetic Field; Gauge Theory.- Gauge Groups; Connections and Parallel Transport; Curvature and the Yang-Mills Equations; Chern-Simons Theory; Link Invariants from Gauge Theory. Gravity: Riemannian and Lorentzian Geometry; Einstein's Equations; The Lagrangian Approach to General Relativity; The ADM Formalism; The New Variables; Knots and Quantum Gravity.
Series Title: Series on knots and everything, 4.
Responsibility: John Baez ; Javier P. Muniain.

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"This book is a great introduction to many of the modern ideas of mathematical physics including differential geometry, group theory, knot theory and topology. It uses as 'physical excuses' to Read more...

 
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