An Introduction to Nonsmooth Analysis

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9780128007310: An Introduction to Nonsmooth Analysis

Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail.

  • Includes different kinds of sub and super differentials as well as generalized gradients
  • Includes also the main tools of the theory, as Sum and Chain Rules or Mean Value theorems
  • Content is introduced in an elementary way, developing many examples, allowing the reader to understand a theory which is scattered in many papers and research books

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Review:

"...starting from the very beginning, adopting a slow, easy to follow linear development and reaching to a self-contained theory...oriented towards undergraduate students, as a  first quick introduction to the topic."--MathSciNet, An Introduction to Nonsmooth Analysis

"...devoted to presenting the theory of the subdifferential of lower semicontinuous functions which is a generalization of the subdifferential of convex functions...a good reference for researchers in optimization and applied mathematics."--Zentralblatt MATH, Sep-14

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