Analysis on Manifolds

  • Walter Thirring
  • Evans Harrell


The intuitive picture of a smooth surface becomes analytic with the concept of a manifold. On the small scale a manifold looks like a Euclidean space, so that infinitesimal operations like differentiation may be defined on it.


Vector Field Open Subset Tangent Space Tangent Bundle Inverse Image 
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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Walter Thirring
    • 1
  • Evans Harrell
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of ViennaAustria
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA

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