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Differentiation in ℝN

  • M. H. Protter
  • C. B. MorreyJr.
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

There are two principal extensions to ℝ N of the theory of differentiation of real-valued functions on ℝ1. In this section, we develop the natural generalization of ordinary differentiation discussed in Chapter 4 to partial differentiation of functions from ℝ N to ℝ1 In Section 7.3, we extend the ordinary derivative to the total derivative.

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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • M. H. Protter
    • 1
  • C. B. MorreyJr.
    • 1
  1. 1.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

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