Foundations of Differential Geometry (Tracts in Pure & Applied Mathematics) (Volume 1)

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 & 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 & fibre bundles to the extension of local transformations & 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.Katsumi Nomizu is the author of 'Foundations of Differential Geometry (Tracts in Pure & Applied Mathematics) (Volume 1)', published 1963 under ISBN 9780470496473 and ISBN 0470496479.