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Gauge Fields, Knots And Gravity

Name: Gauge Fields, Knots And Gravity
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05064721
Price: 135.74 EUR
Availability: InStock
Author: J.C. Baez
ISBN: 9789810217297

J.C. Baez

T. Muniain

Language

English

Book Hardback

Libristo code: 05064721

Publishers World Scientific Publishing Co Pte Ltd, October 1994

This is an introduction to the basic tools of mathematics needed to understand gravity. The book beg... Full description

Libristo code: 05064721

328 b

135.74 €

265.48 лв

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This is an introduction to the basic tools of mathematics needed to understand gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.