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Elements of Concave Analysis and Applications

Von:

Kythe, Prem K, 1930- [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Verlag: Boca Raton, FL : CRC Press, 2018Auflage: First editionBeschreibung: 1 Online-RessourceSchlagwörter:

Andere physische Formen: 135178451X | 9781351784511 | 1138705284 | 9781138705289 | 1315202255. | 9781315202259. | 9781351784498 | 9781351784504 | Erscheint auch als: 9781351784511 Druck-AusgabeDDC-Klassifikation:

SCMA102030
SCEC25
SCMA6030
WB075
WB021
WB057

MSC: MSC: *26-01 | 00A06 | 26A51 | 26B25 | 90C25 | 90C26LOC-Klassifikation:

QA353.C64

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Zusammenfassung: 2.1.1 Limit of a Function at a Point2.2 Theorems on Limits; 2.2.1 Limit at Infinity; 2.2.2 Infinite Limits; 2.3 Global and Local Extrema of Functions; 2.4 First and Second Derivative Tests; 2.4.1 Definition of Concavity; 2.5 Vector-Valued Functions; 2.5.1 Geometric Meaning of the Inflection Point; 2.6 Optimization; 2.7 Multivariate Functions; 2.7.1 Geometric Interpretation; 2.7.2 Gradient at a Point; 2.8 Mathematical Economics; 2.8.1 Isocost Lines; 2.8.2 Supply and Demand; 2.8.3 IS-LM Equation; 2.8.4 Marginal of an Economic Function; 2.8.5 Marginal Rate of Technical SubstitutionZusammenfassung: 4.3.1 Equality and Inequality Constraints4.3.2 Necessary Conditions; 4.3.3 Regularity Conditions; 4.3.4 Sufficient Conditions; 4.4 Inequality Constrained Optimization; 4.5 Application to Mathematical Economics; 4.5.1 Peak Load Pricing; 4.6 Comparative Statics; 4.7 Exercises; Chapter 5 Convex Programming; 5.1 Minimization Problem; 5.1.1 Unconstrained Minimization; 5.1.2 Equality Constraints; 5.1.3 Equality Constraints: General Case; 5.1.4 Inequality Constraints; 5.1.5 General Linear Case; 5.2 Nonlinear Programming; 5.2.1 Two Inequality Constraints and One Equality ConstraintZusammenfassung: 5.2.2 Two Inequality Constraints5.3 Fritz John Conditions; 5.3.1 Feasibility; 5.3.2 Slater's Condition; 5.4 Lagrangian Duality; 5.4.1 Geometrical Interpretation of Duality; 5.4.2 Saddle Point Sufficiency; 5.4.3 Strong Duality; 5.5 Exercises; Chapter 6 Quasi-Concave Functions; 6.1 Quasi-Concave Functions; 6.2 Differentiable Functions; 6.3 Theorems on Quasi-Concavity; 6.4 Three-Dimensional Case; 6.5 Multivariate Case; 6.6 Sums of Quasi-Concave Functions; 6.7 Strictly Quasi-Concave Functions; 6.7.1 Sums of Strictly Quasi-Concave Functions; 6.8 Quasi-Concave Programming; 6.9 SummaryZusammenfassung: "Concave 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."--Provided by publisherPPN: PPN: 1026505356Package identifier: Produktsigel: ZDB-4-NLEBK

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