000 02539nam a22004695i 4500
001 978-1-4614-4340-7
003 DE-He213
005 20140220083249.0
007 cr nn 008mamaa
008 120731s2012 xxu| s |||| 0|eng d
020 _a9781461443407
_9978-1-4614-4340-7
024 7 _a10.1007/978-1-4614-4340-7
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aScholtes, Stefan.
_eauthor.
245 1 0 _aIntroduction to Piecewise Differentiable Equations
_h[electronic resource] /
_cby Stefan Scholtes.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2012.
300 _aX, 133 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Optimization,
_x2190-8354
520 _aThis 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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aFunctions of complex variables.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461443391
830 0 _aSpringerBriefs in Optimization,
_x2190-8354
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-4340-7
912 _aZDB-2-SMA
999 _c101497
_d101497