Foundations of Differential Geometry (Wiley Classics Library) 〈1〉

Kobayashi, Shoshichi/ Nomizu, Katsumi

Wiley-Interscience（1996/02発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 329 p.
• 言語 ENG
• 商品コード 9780471157335
• DDC分類 516.36

Full Description

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.

Contents

Differentiable Manifolds.

Theory of Connections.

Linear and Affine Connections.

Riemannian Connections.

Curvature and Space Forms.

Transformations.

Appendices.

Notes.

Summary of Basic Notations.

Bibliography.

Index.