000 | 03159nam a22005897a 4500 | ||
---|---|---|---|
001 | sulb-eb0022035 | ||
003 | BD-SySUS | ||
005 | 20160413122219.0 | ||
007 | cr nn 008mamaa | ||
008 | 121116s2013 xxu| s |||| 0|eng d | ||
020 |
_a9781461445388 _9978-1-4614-4538-8 |
||
024 | 7 |
_a10.1007/978-1-4614-4538-8 _2doi |
|
050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aPenot, Jean-Paul. _eauthor. |
|
245 | 1 | 0 |
_aCalculus Without Derivatives _h[electronic resource] / _cby Jean-Paul Penot. |
264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
|
300 |
_aXX, 524 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v266 |
|
505 | 0 | _aPreface -- 1 Metric and Topological Tools -- 2 Elements of Differential Calculus -- 3 Elements of Convex Analysis -- 4 Elementary and Viscosity Subdifferentials -- 5 Circa-Subdifferentials, Clarke Subdifferentials -- 6 Limiting Subdifferentials -- 7 Graded Subdifferentials, Ioffe Subdifferentials -- References -- Index . | |
520 | _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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aMathematical analysis. | |
650 | 0 | _aAnalysis (Mathematics). | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aFunctions of real variables. | |
650 | 0 | _aApplied mathematics. | |
650 | 0 | _aEngineering mathematics. | |
650 | 0 | _aSystem theory. | |
650 | 0 | _aMathematical optimization. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAnalysis. |
650 | 2 | 4 | _aReal Functions. |
650 | 2 | 4 | _aOptimization. |
650 | 2 | 4 | _aSystems Theory, Control. |
650 | 2 | 4 | _aFunctional Analysis. |
650 | 2 | 4 | _aApplications of Mathematics. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9781461445371 |
830 | 0 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v266 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-4538-8 |
912 | _aZDB-2-SMA | ||
942 |
_2Dewey Decimal Classification _ceBooks |
||
999 |
_c44127 _d44127 |