Advertisement

Partial Derivatives. Applications

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

Abstract

A function f is a mapping which takes each element of the domain D into an element of the range S. We write f: D → S. If the domain D consists of ordered pairs of numbers, then we have a function on R e or a function of two variables. We employ the notation

z=f(x,y) or f:(x,y) → S

to indicate a typical function on R 2 when the elements of the range are real numbers (elements of R’).

Keywords

Partial Derivative Line Segment Lagrange Multiplier Tangent Plane Chain Rule 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Murray H. Protter
    • 1
  • Charles B. MorreyJr.
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Personalised recommendations