This two-volume advent to differential geometry, a part of Wiley's renowned Classics Library, lays the root for realizing a space of research that has turn into important to modern arithmetic. it's thoroughly self-contained and may function a reference in addition to a educating consultant. Volume 1 offers a scientific creation to the sector from a quick survey of differentiable manifolds, Lie teams and fibre bundles to the extension of neighborhood alterations and Riemannian connections. The second volume maintains with the learn of variational difficulties on geodesics via differential geometric facets of attribute sessions. either volumes familiarize readers with uncomplicated computational ideas.
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