Foundations of differential geometry
著者
書誌事項
Foundations of differential geometry
（Wiley classics library）
John Wiley & Sons, 1996
Wiley classics library ed
- v. 1
- v. 2
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v. 1414.7//KO12//534115100098944,15100198843,15100253416,
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注記
"A Wiley-Interscience publication."
Includes bibliographical references (1: p. 315-323, 2: p. 387-454) and indexes
内容説明・目次
- 巻冊次
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v. 2 ISBN 9780471157328
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.
目次
Submanifolds.
Variations of the Length Integral.
Complex Manifolds.
Homogeneous Spaces.
Symmetric Spaces.
Characteristic Classes.
Appendices.
Notes.
Bibliography.
Summary of Basic Notations.
Index.
- 巻冊次
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v. 1 ISBN 9780471157335
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.
目次
Differentiable Manifolds.
Theory of Connections.
Linear and Affine Connections.
Riemannian Connections.
Curvature and Space Forms.
Transformations.
Appendices.
Notes.
Summary of Basic Notations.
Bibliography.
Index.
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