Kniha Gauge Fields, Knots And Gravity John C. Baez

Gauge Fields, Knots And Gravity

Jazyk: Angličtina
Väzba: Brožovaná
Dostupnosť: Skladom u dodávateľa
Odosielame za 14-21 dní
70.58
This is an introduction to the basic tools of mathematics needed to understand the relation between...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
1994
Stránok
480
EAN
9789810220341
ISBN
9810220340
Enbook ID
05064927
Hmotnosť
706
Rozmery
217 x 153 x 22

Kompletný popis

This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum 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.

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