A Comprehensive Introduction to Differential Geometry

Spivak, M. (1979). A Comprehensive Introduction to Differential Geometry.

Type

Book

Intellectual base

Review or monograph

Year

1979

Link

https://www.maa.org/press/maa-reviews/a-comprehensive-introduction-to-differential-geometry

Cited from

mathematics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Primes

• Manifold
  • the same local-flat / globally-curved structure that supported Gauss's analysis of curved surfaces became the language of gravitation, carrying the differential-geometric apparatus intact.

    This sourceDevelops manifolds, charts, transition maps, and intrinsic (Gaussian/Riemannian) curvature, including holonomy and the theorema egregium distinguishing intrinsic from extrinsic geometry.

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