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An introduction to differential geometry and topology in mathematical physics / Wang Rong & Chen Yue.
EBSCOhost eBook Community College Collection Available online
EBSCOhost eBook Community College Collection- Format:
- Book
- Author/Creator:
- Wang, Rong.
- Language:
- English
- Subjects (All):
- Geometry, Differential.
- Topology.
- Mathematical physics.
- Physical Description:
- 1 online resource (220p.)
- Other Title:
- Differential geometry and topology in mathematical physics
- Place of Publication:
- Singapore ; River Edge, NJ : World Scientific, c1998.
- Language Note:
- English
- Summary:
- This text provides an outline of the developments of differential geometry and topology in the 20th century, especially those which will be closely related to new discoveries in theoretical physics.
- Contents:
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references (p. 207) and index.
- ISBN:
- 9781283899895
- 1283899892
- 9789812816016
- 9812816011
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