Author	Jost, Jรผrgen. author
Title	Geometry and Physics [electronic resource] / by Jรผrgen Jost
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
Connect to	http://dx.doi.org/10.1007/978-3-642-00541-1
Descript	XIV, 217p. 1 illus. in color. online resource

"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. Jรผrgen 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

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

1. Mathematics
2. Geometry
3. Global differential geometry
4. Mathematical optimization
5. Mathematical physics
6. Mathematics
7. Geometry
8. Differential Geometry
9. Calculus of Variations and Optimal Control; Optimization
10. Theoretical
11. Mathematical and Computational Physics
12. Mathematical Methods in Physics