Partial differentiation

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


We denote by ℝk the set of real ordered k-tuples \( \mathop {\rm{x}}\limits^ \to = ({{\rm{x}}_{\rm{1}}},{{\rm{x}}_{\rm{2}}},...,{{\rm{x}}_{\rm{k}}}). \) Such a k-tuple is called a k-vector, the numbers x1,x2,... being its components. k-vectors are added and multiplied by scalars in the component-wise function familiar in the plane and in three-space. In this notation the plane and three-space are denoted ℝ2 and ℝ3 respectively.


Vector Field Partial Derivative Taylor Expansion Chain Rule Order Taylor Expansion 
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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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