Foundations of Differential Geometry

Shoshichi Kobayashi,Katsumi Nomizu

Foundations of Differential Geometry
Format
Paperback
Publisher
John Wiley & Sons Inc
Country
United States
Published
8 February 1996
Pages
344
ISBN
9780471157335

Foundations of Differential Geometry

Shoshichi Kobayashi,Katsumi Nomizu

This two-volume introduction to differential geometry, part of Wiley’s popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.

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