
Introduction To Differential Geometry And Topology In Mathematical Physics, An
Will be published approx. on 20. January 1999
Book
Hardback
220 pages
978-981-02-3559-8 (ISBN)
Description
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Product notice
Laminated cover
Dimensions
Height: 224 mm
Width: 160 mm
Thickness: 17 mm
Weight
431 gr
ISBN-13
978-981-02-3559-8 (9789810235598)
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Schweitzer Classification
Persons
Content
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.