Kód: 05064721
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 Maxwe ... celý popis
Angličtina
Nákupem získáte 316 bodů
Anotace knihy
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.
Parametry knihy
Zařazení knihy Knihy v angličtině Mathematics & science Physics Applied physics
3156 Kč
Angličtina
Osobní odběr Praha, Brno a 46611 dalších
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