TY - BOOK AU - ED - SpringerLink (Online service) TI - Geometry and Physics SN - 9783642005411 AV - QA440-699 U1 - 516 23 PY - 2009/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Geometry KW - Global differential geometry KW - Mathematical optimization KW - Mathematical physics KW - Differential Geometry KW - Calculus of Variations and Optimal Control; Optimization KW - Theoretical, Mathematical and Computational Physics KW - Mathematical Methods in Physics N1 - 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; ZDB-2-SMA N2 - "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. JČ­rgen 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 UR - http://dx.doi.org/10.1007/978-3-642-00541-1 ER -