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Differential Forms and Integration

  • Gregory L. Naber
Part of the Applied Mathematical Sciences book series (AMS, volume 141)

Abstract

Physics is expressed in the language of differential equations (e.g., Maxwell, Dirac, Yang-Mills, Einstein, etc.). Differential equations live on differentiable manifolds and differentiable manifolds have topologies that influence not only the solutions to differential equations defined on them, but even the type of equation that one can define on them. At some naive level then it is perhaps not surprising that topology and physics interact. The profound depth of this interaction in recent years, however, has made it abundantly clear that the naive level is not the appropriate one from which to view this.

Keywords

Differential Form Measure Zero Coordinate Function Dual Basis Real Vector Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Gregory L. Naber
    • 1
  1. 1.Department of Mathematics and StatisticsCalifornia State UniversityChicoUSA

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