Introduction to piecewise differentiable equations

著者

• Scholtes, Stefan

書誌事項

Introduction to piecewise differentiable equations

Stefan Scholtes

（SpringerBriefs in optimization）

Springer, c2012

注記

Includes bibliographical references (p. 127-130) and index

内容説明・目次

内容説明

This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation function. In the end, the results are combined to develop inverse and implicit function theorems for piecewise differentiable equations. This Introduction to Piecewise Differentiable Equations will serve graduate students and researchers alike. The reader is assumed to be familiar with basic mathematical analysis and to have some familiarity with polyhedral theory.

目次

-1. Sample problems for nonsmooth equations. -2. Piecewise affline functions. -3. Elements from nonsmooth analysis. -4. Piecewise differentiable functions. -5. Sample applications.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB10018976
• ISBN:
  • 9781461443391
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: x, 133 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BB09588285