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010 _a978-1-4614-4538-8
_dcompra
090 _a65225
100 _a20150401d2013 k||y0pory50 ba
101 _aeng
102 _aUS
200 _aCalculus without derivatives
_bDocumento eletrónico
_fJean-Paul Penot
210 _aNew York, NY
_cSpringer
_d2013
215 _aXX, 524 p.
225 _aGraduate Texts in Mathematics
300 _aColocação: Online
303 _aCalculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems.  Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories.  In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed.  The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
606 _aCálculo
606 _aCálculo diferencial
606 _aAnálise funcional
606 _aOtimização matemática
680 _aQA303.2
700 _aPenot
_bJean-Paul
801 _aPT
_gRPC
856 _uhttp://dx.doi.org/10.1007/978-1-4614-4538-8
942 _2lcc
_cF
_n0