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Foundations of Differential Geometry, 2 Volume Set

by Shoshichi Kobayashi

A two-volume introduction to differential geometry

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AlbakiReads Editorial

A two-volume introduction to differential geometry

This set brings together both volumes of Shoshichi Kobayashi and Katsumi Nomizu’s treatment of differential geometry. Volume 1 moves from differentiable manifolds, Lie groups, and fibre bundles to local transformations and Riemannian connections. Volume 2 extends the coverage to variational problems involving geodesics and differential-geometric aspects of characteristic classes. Basic computational techniques feature across the set, which the publisher describes as both a teaching guide and a reference. Its progression from foundational structures to further topics makes the two-volume scope clear.

Good fit for readers who enjoy

  • Students seeking a structured introduction to differential geometry.
  • Instructors looking for a teaching guide in the subject.
  • Researchers or mathematicians seeking a reference on the topics covered.

Themes

Differential geometryDifferentiable manifolds and Lie groupsFibre bundles and Riemannian connectionsGeodesics and characteristic classes

Based on publisher information and book metadata.

Book overview

This set features:

Foundations of Differential Geometry, Volume 1 (978-0-471-15733-5) and Foundations of Differential Geometry, Volume 2 (978-0-471-15732-8), both by Shoshichi Kobayashi and Katsumi Nomizu

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. Volume 2 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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