By Shoshichi Kobayashi, Katsumi Nomizu
This two-volume creation to differential geometry, a part of Wiley's well known Classics Library, lays the basis for knowing a space of research that has develop into important to modern arithmetic. it's thoroughly self-contained and should function a reference in addition to a instructing consultant. Volume 1 offers a scientific creation to the sphere from a quick survey of differentiable manifolds, Lie teams and fibre bundles to the extension of neighborhood changes and Riemannian connections. The second volume maintains with the learn of variational difficulties on geodesics via differential geometric elements of attribute sessions. either volumes familiarize readers with simple computational concepts.