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MARC 21

Geometry and Physics
Tag Description
020$a9783642005411
082$a516.373 (DDC 23)
099$aOnline Resource : Springer
100$aJost, Jürgen.$d1956-
245$aGeometry and Physics$hEB$cby Jürgen Jost.
260$aBerlin, Heidelberg$bSpringer,$c2009.
300$aXIV, 217p. 1 illus. in color.$bonline resource.
336$atext
338$aonline resource
505$a1.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.
520$a"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.
520$a1.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.
538$aOnline access to this digital book is restricted to subscription instititions through IP address (only for SISSA internal users)
710$aSpringerLink (Online service)
856$uhttp://dx.doi.org/10.1007/978-3-642-00541-1
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