Geometry and Physics [electronic resource] / by Jȭrgen Jost.

Por: Jost, Jȭrgen [author.]Tipo de material: TextoTextoEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Descripción: XIV, 217 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642005411Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Geometry | Global differential geometry | Mathematical optimization | Mathematical physics | Mathematics | Geometry | Differential Geometry | Calculus of Variations and Optimal Control; Optimization | Theoretical, Mathematical and Computational Physics | Mathematical Methods in PhysicsFormatos físicos adicionales: Sin títuloClasificación CDD: 516 Clasificación LoC:QA440-699Recursos en línea: de clik aquí para ver el libro electrónico
Contenidos:
Springer eBooksResumen: "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. Jȭrgen 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.
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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.

"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. Jȭrgen 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.

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