This book looks at differential geometry from three approaches. The intuitive approach, the taxonomic approach and the intrinsic approach. Other topics covered include vector fields and fibre spaces.
Introductory differential geometry for physicists / A. Visconti
Creators
Visconti, Antoine
Subject
Geometry, Differential
Mathematical physics
Publisher
World Scientific,
National Library Board Singapore,
Digital Description
application/pdf, ill.
Table of Contents
ch.I level 0: The intuitive approach : theory of surfaces (19th century) -- ch.II level 1: The taxonomic approach. A. Manifolds:tensor fields : covariant differentiation. B. Riemannian geometry. C. Miscellaneous questions -- ch.III level 2: The intrinsic approach. A. Differentiable manifolds. B. Tangent vector space. C. Cotangent vector space. D. Integration of differential forms. E. Theory of linear connections. F. Riemannian geometry. G. Vector fields and lie groups -- ch.IV: Fibre spaces. A. Fibre bundles. B. Connections -- Bibliography – Index.
Copyright
All Rights Reserved. National Library Board Singapore 2009.