An introduction to differentiable manifolds and Riemannian geometry
著者
書誌事項
An introduction to differentiable manifolds and Riemannian geometry
（Pure and applied mathematics, 120）
Academic Press, c1986
2nd ed
- : pbk.
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注記
Bibliography: p. 417-422
Includes index
内容説明・目次
内容説明
This is a revised printing of one of the classic mathematics texts published in the last 25 years. This revised edition includes updated references and indexes and error corrections and will continue to serve as the standard text for students and professionals in the field.Differential manifolds are the underlying objects of study in much of advanced calculus and analysis. Topics such as line and surface integrals, divergence and curl of vector fields, and Stoke's and Green's theorems find their most natural setting in manifold theory. Riemannian plane geometry can be visualized as the geometry on the surface of a sphere in which "lines" are taken to be great circle arcs.
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