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Item Details
Title: INTRODUCTION TO PIECEWISE DIFFERENTIABLE EQUATIONS
By: Stefan Scholtes
Format: Paperback

List price: £44.99


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ISBN 10: 1461443393
ISBN 13: 9781461443391
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 1 August, 2012
Edition: 2012 ed.
Series: SpringerBriefs in Optimization
Pages: 133
Description: ? ? ? ? ? ? ? This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations.
Synopsis: ? ? ? ? ? ? ? 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.
Illustrations: X, 133 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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