Review of Optimization in ℝd

  • John L. Troutman
Part of the Undergraduate Texts in Mathematics book series (UTM)


This chapter presents a brief summary of the standard terminology and basic results related to characterizing the maximal and minimal values of a real valued function f defined on a set D in Euclidean space. With the possible exception of the remarks concerning convexity ((0.8) and (0.9)), this material is covered in texts on multidimensional calculus; the notation is explained at the end of §1.5.


Saddle Point Stationary Point Convex Function Positive Semidefinite Cauchy Inequality 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • John L. Troutman
    • 1
  1. 1.Department of MathematicsSyracuse UniversitySyracuseUSA

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