000 a
999 _c31826
_d31826
008 230420b xxu||||| |||| 00| 0 eng d
020 _a9780367237745
082 _a516.362
_bKRA
100 _aKrantz, Steven G.
245 _aConvex analysis
260 _bCRC Press,
_aBoca Raton :
_c2015
300 _axiii, 161 p. ;
_bill.,
_c23 cm
365 _b1995.00
_cINR
_d01
490 _aTextbooks in mathematics
504 _aIncludes bibliographical references and index.
520 _aConvexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how g.
650 _aConvex geometry
650 _aFunctional analysis
650 _aOperator theory
650 _aDiscrete geometry
650 _aConvex functions
650 _aBrunn-Minkowski inequality
650 _aDefining function
650 _aExhaustion function
650 _aFactorial function
650 _a Gamma function
650 _aHausdorff distance
650 _a Krein-Milman theorem
650 _aLinear programming
650 _aMini Max theorem
650 _aMinikowski functional
650 _aOrtho -convex set
650 _aSubharmonic functions
650 _aTargent directions
650 _aApproximation
942 _2ddc
_cBK