書誌事項

Foundations of differential geometry

Shoshichi Kobayashi and Katsumi Nomizu

(Interscience tracts in pure and applied mathematics, no. 15)

Interscience Publishers, 1963-1969

  • v. 1
  • v. 2

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注記

Bibliography: v. 1, p. 315-323

Bibliography: v. 2, p. 387-454

内容説明・目次

巻冊次

v. 1 ISBN 9780470496473

内容説明

This two-volume introduction to differential geometry, part of Wiley's popular <i>Classics Library</i>, 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. <b>Volume 1</b> 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 <b>second volume</b> continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.
巻冊次

v. 2 ISBN 9780470496480

内容説明

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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