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Vector Operations in ℝ3

  • M. Schreiber
Part of the Universitext book series (UTX)

Abstract

In the vector analysis of ℝ3 one uses a formal vector operator, written ∇ and called “nabla” or “del”, which is defined (so to speak) as
$$ \nabla {\rm{ = }}\;\mathop \sum \limits_{{\rm{i = 1}}}^3 {\rm{ }}\frac{\partial }{{\partial {{\rm{x}}_{\rm{i}}}}}\;\mathop {{{\rm{e}}_{\rm{i}}}}\limits^ \to \;. $$
(1)

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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • M. Schreiber
    • 1
  1. 1.Department of MathematicsThe Rockefeller UniversityNew YorkUSA

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