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＜電子ブック＞
Introduction to Piecewise Differentiable Equations / by Stefan Scholtes
(SpringerBriefs in Optimization. ISSN:2191575X)

版	1st ed. 2012.
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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