Cartesian Tensors

  • Paul C. Matthews
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


At the very beginning of this book vectors and scalars were denned as ‘physical quantities’. But what does this mean mathematically? In this chapter a precise mathematical statement is developed, using the idea that the physical quantity exists independently of any coordinate system that may be used. This new mathematical definition of vectors and scalars is generalised to define a wider class of objects known as tensors. Throughout this chapter attention is restricted to Cartesian coordinate systems.


Transformation Rule Symmetric Tensor Inertia Tensor Rank Tensor Rank Zero 
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Copyright information

© Springer-Verlag London 1998

Authors and Affiliations

  • Paul C. Matthews
    • 1
  1. 1.School of Mathematical SciencesUniversity of NottinghamUniversity ParkUK

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