Introduction To Differential Geometry And Topology In Mathematical Physics, An

Wang Rong, Chen Yue (Autoren)

Buch | Hardcover

220 Seiten

1999
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3559-8 (ISBN)

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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.

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.

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.

Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	981-02-3559-3 / 9810235593
ISBN-13	978-981-02-3559-8 / 9789810235598
Zustand	Neuware