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Introduction to Piecewise Differentiable Equations / by Stefan Scholtes
(SpringerBriefs in Optimization. ISSN:2191575X)
版 | 1st ed. 2012. |
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出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2012 |
大きさ | X, 133 p : online resource |
著者標目 | *Scholtes, Stefan author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Functions of complex variables LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Analysis FREE:Functions of a Complex Variable FREE:Calculus of Variations and Optimization |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-1-4614-4340-7 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781461443407 |
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電子リソース |
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EB00199244 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000114969 |
ISBN | 9781461443407 |
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※2017年9月4日以降