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001 | 20432646 | ||
010 | _a 2018006905 | ||
020 | _a9781138705289 | ||
040 | _aUOWD | ||
082 | 0 | 0 | _a515.88 KY EL |
100 | 1 |
_aKythe, Prem K. _919562 |
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245 | 1 | 0 |
_aElements of concave analysis and applications _cPrem K. Kythe |
260 |
_aBoca Raton, Florida : _bCRC Press, _cc2018. |
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300 |
_axxii, 356 p. : _bill. ; _c25 cm. |
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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 selfâcontained 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 |
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650 | 0 |
_aConvex functions _xTextbooks _919564 |
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650 | 0 |
_aFunctions of real variables _xTextbooks _919565 |
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650 | 0 |
_aMatrices _xTextbooks _919566 |
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856 |
_uhttps://uowd.box.com/s/tsxocw67f638sosi2wjho6dr0tt84g3j _zLocation Map |
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_2ddc _cREGULAR |