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	Título: Introduction To Piecewise Differentiable Equations
	Autor: Scholtes, Stefan	Precio: $821.96
	Editorial: Springer Verlag	Año: 2012
	Tema: Matematicas Aplicadas, Matematicas	Edición: 1ª
	Sinopsis	ISBN: 9781461443391
	Introduces the theory of piecewise differentiable functions with an emphasis on piecewise differentiable equations Illustrates the relevance of the study via two sample problems ??????? 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. Content Level » Graduate Keywords » Bouligand derivative - NonSmooth Equations - Polyhedral theory - affine functions - piecewise differentiable function Related subjects » Analysis - Mathematics Table of contents ???? ?-1. Sample problems for nonsmooth equations. -2. Piecewise affline functions. -3. Elements from nonsmooth analysis. -4. Piecewise differentiable functions. -5. Sample applications. Popular Content within this publication 7 days30 days90 days -------------------------------------------------------------------------------- Elements from Nonsmooth Analysis Scholtes, Stefan Sample Problems for Nonsmooth Equations Scholtes, Stefan Piecewise Differentiable Functions Scholtes, Stefan

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