Topology and Geometry for Physics

Paperback Engels 2011 2011e druk 9783642146992
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.

Specificaties

ISBN13:9783642146992
Taal:Engels
Bindwijze:paperback
Aantal pagina's:390
Uitgever:Springer Berlin Heidelberg
Druk:2011

Lezersrecensies

Wees de eerste die een lezersrecensie schrijft!

Inhoudsopgave

Introduction.- Topology.- Manifolds.- Tensor Fields.- Integration, Homology and Cohomology.- Lie Groups.- Bundles and Connections.- Parallelism, Holonomy, Homotopy and (Co)homology.- Riemannian Geometry.- Compendium.

Managementboek Top 100

Rubrieken

    Personen

      Trefwoorden

        Topology and Geometry for Physics