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Partial differentiation

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

Abstract

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.

Keywords

Vector Field Partial Derivative Taylor Expansion Chain Rule Order Taylor Expansion 
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-Verlag, New York Inc. 1977

Authors and Affiliations

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

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