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Review of Optimization in ℝd

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Part of the book series: Undergraduate Texts in Mathematics ((UTM))

Abstract

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 in §1.5.

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© 1983 Springer-Verlag New York Inc.

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Troutman, J.L. (1983). Review of Optimization in ℝd . In: Variational Calculus with Elementary Convexity. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0158-5_1

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  • DOI: https://doi.org/10.1007/978-1-4684-0158-5_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0160-8

  • Online ISBN: 978-1-4684-0158-5

  • eBook Packages: Springer Book Archive

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