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999 _c34239
_d34239
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010 _a 2018006905
020 _a9781138705289
040 _aUOWD
082 0 0 _a515.88 KY EL
100 1 _aKythe, Prem K.
_919562
245 1 0 _aElements of concave analysis and applications
_cPrem K. Kythe
260 _aBoca Raton, Florida :
_bCRC Press,
_cc2018.
300 _axxii, 356 p. :
_bill. ;
_c25 cm.
504 _aIncludes bibliographical references and index.
505 _aPreface1 Matrix Algebra2 Differential Calculus3 Concave and Convex Functions4 Concave Programming5 Convex Programming6 Quasi-Concave Functions7 Quasi-Convex Functions8 Log-concave Functions9 Quadratic Programming10 Optimal Control Theory11 Demands12 Black-Scholes EquationAppendices:A Probability TopicsB Differentiation of OperatorsC DistributionsD Laplace TransformsE Implicit Function TheoremF Locally Nonsatiated Function.
520 _aConcave analysis deals mainly with concave and quasi-concave functions, although convex and quasi-convex functions are considered because of their mutual inherent relationship. The aim of Elements of Concave Analysis and Applications is to provide a basic and self‐contained introduction to concepts and detailed study of concave and convex functions. It is written in the style of a textbook, designed for courses in mathematical economics, finance, and manufacturing design. The suggested prerequisites are multivariate calculus, ordinary and elementary PDEs, and elementary probability theory.
650 0 _aConcave functions
_xTextbooks
_919563
650 0 _aConvex functions
_xTextbooks
_919564
650 0 _aFunctions of real variables
_xTextbooks
_919565
650 0 _aMatrices
_xTextbooks
_919566
856 _uhttps://uowd.box.com/s/tsxocw67f638sosi2wjho6dr0tt84g3j
_zLocation Map
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