Introduction To Differential Geometry And Topology In Mathematical Physics, An

Inbunden, Engelska, 1999

1 359 kr

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This book gives an outline of the developments of differential geometry and topology in the twentieth century, especially those which will be closely related to new discoveries in theoretical physics.

Produktinformation

Utgivningsdatum1999-01-20
FormatInbunden
SpråkEngelska
Antal sidor220
FörlagWorld Scientific Publishing Co Pte Ltd
ISBN9789810235598

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik

Differential manifolds - preliminary knowledge and definitions; properties and operations of tangent vectors and cotangent vectors; curvature tensors, torsion tensors, covariant differentials and adjoint exterior differentials; Riemannian geometry; complex manifold; global topological properties - homotopy equivalence and homotopy groups of manifolds; homology and de Rham cohomology; fibre bundles and their topological structures; connections and curvatures on fibre bundles; characteristic classes of fibre bundles; index theorem and 4-manifolds - index theorem for manifolds without boundary; essential features of 4-manifolds.