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Geometry and Physics

Erschienen am 11.09.2009, 1. Auflage 2009
74,89 €
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Bibliografische Daten
ISBN/EAN: 9783642005404
Sprache: Englisch
Umfang: xiv, 217 S.
Format (T/L/B): 1.4 x 24.2 x 15.7 cm
Einband: gebundenes Buch

Beschreibung

"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.

Inhalt

1.Geometry.- 1.1.Riemannian and Lorentzian manifolds.- 1.2.Bundles and connections.- 1.3.Tensors and spinors.- 1.4.Riemann surfaces and moduli spaces.- 1.5.Supermanifolds.- 2.Physics.- 2.1.Classical and quantum physics.- 2.2.Lagrangians.-2.3.Variational aspects.- 2.4.The sigma model.- 2.5.Functional integrals.- 2.6.Conformal field theory.- 2.7.String theory.- Bibliography.- Index.