Multilinear Algebra and Tensors

  • Lawrence Conlon
Part of the Birkhäuser Advanced Texts book series (BAT)


Smooth functions, vector fields and 1—forms are tensors of fairly simple types. In order to handle higher order tensors, we will need some rather sophisticated multilinear algebra. The reader who is well grounded in the multilinear algebra of R—modules can skip ahead to Section 7.4, referring to the first three sections only as needed.


Tensor Product Vector Bundle Canonical Isomorphism Covariant Functor Multilinear Algebra 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Lawrence Conlon
    • 1
  1. 1.Department of MathematicsWashington UniversitySt. LouisUSA

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