000 08998cam a22003854a 4500
001 5833829
003 BD-DhUL
005 20160508142210.0
008 040910s2005 maua b 001 0 eng
010 _a 2004059546
020 _a0070109109 (alk. paper)
035 _a(OCoLC)ocm56510416
035 _a(NNC)5833829
040 _aDLC
_cDLC
_dBAKER
_dMUQ
_dNLGGC
_dOrLoB-B
_dBD-DhUL
042 _apcc
050 0 0 _aHB135
_b.C47 2005
082 0 0 _a330.0151
_222
_bCHF
084 _a83.03
_2bcl
100 1 _aChiang, Alpha C.
_d1927-
245 1 0 _aFundamental methods of mathematical economics /
_cAlpha C. Chiang, Kevin Wainwright.
250 _a4th ed.
260 _aBoston, Mass. :
_bMcGraw-Hill/Irwin,
_cc2005.
300 _axix, 688 p. :
_bill. ;
_c24 cm.
365 _aUS$
_b72.90
504 _aIncludes bibliographical references p. 659-661 and index.
505 0 0 _gPart 1.
_tIntroduction --
_g1.
_tThe Nature of Mathematical Economics --
_g1.1.
_tMathematical versus Nonmathematical Economics --
_g1.2.
_tMathematical Economics versus Econometrics --
_g2.
_tEconomic Models --
_g2.1.
_tIngredients of a Mathematical Model --
_g2.2.
_tThe Real-Number System --
_g2.3.
_tThe Concept of Sets --
_g2.4.
_tRelations and Functions --
_g2.5.
_tTypes of Function --
_g2.6.
_tFunctions of Two or More Independent Variables --
_g2.7.
_tLevels of Generality --
_gPart 2.
_tStatic (or Equilibrium) Analysis --
_g3.
_tEquilibrium Analysis in Economics --
_g3.1.
_tThe Meaning of Equilibrium --
_g3.2.
_tPartial Market Equilibrium--A Linear Model --
_g3.3.
_tPartial Market Equilibrium--A Nonlinear Model --
_g3.4.
_tGeneral Market Equilibrium --
_g3.5.
_tEquilibrium in National-Income Analysis --
_g4.
_tLinear Models and Matrix Algebra --
_g4.1.
_tMatrices and Vectors --
_g4.2.
_tMatrix Operations --
_g4.3.
_tNotes on Vector Operations --
_g4.4.
_tCommutative, Associative, and Distributive Laws --
_g4.5.
_tIdentity Matrices and Null Matrices --
_g4.6.
_tTransposes and Inverses --
_g5.
_tLinear Models and Matrix Algebra (Continued) --
_g5.1.
_tConditions for Nonsingularity of a Matrix --
_g5.2.
_tTest of Nonsingularity by Use of Determinant --
_g5.3.
_tBasic Properties of Determinants --
_g5.4.
_tFinding the Inverse Matrix --
_g5.5.
_tCramer's Rule --
_g5.6.
_tApplication to Market and National-Income Models --
_g5.7.
_tLeontief Input-Output Models --
_g5.8.
_tLimitations of Static Analysis --
_gPart 3.
_tComparative-Static Analysis --
_g6.
_tComparative Statics and the Concept of Derivative --
_g6.1.
_tThe Nature of Comparative Statics --
_g6.2.
_tRate of Change and the Derivative --
_g6.3.
_tThe Derivative and the Slope of a Curve --
_g6.4.
_tThe Concept of Limit --
_g6.5.
_tDigression on Inequalities and Absolute Values --
_g6.6.
_tLimit Theorems --
_g6.7.
_tContinuity and Differentiability of a Function --
_g7.
_tRules of Differentiation and Their Use in Comparative Statics --
_g7.1.
_tRules of Differentiation for a Function of One Variable --
_g7.2.
_tRules of Differentiation Involving Two or More Functions of the Same Variable --
_g7.3.
_tRules of Differentiation Involving Functions of Different Variables --
_g7.4.
_tPartial Differentiation --
_g7.5.
_tApplications to Comparative-Static Analysis --
_g7.6.
_tNote on Jacobian Determinants --
_g8.
_tComparative-Static Analysis of General-Function Models --
_g8.1.
_tDifferentials --
_g8.2.
_tTotal Differentials --
_g8.3.
_tRules of Differentials --
_g8.4.
_tTotal Derivatives --
_g8.5.
_tDerivatives of Implicit Functions --
_g8.6.
_tComparative Statics of General-Function Models --
_g8.7.
_tLimitations of Comparative Statics --
_gPart 4.
_tOptimization Problems --
_g9.
_tOptimization: A Special Variety of Equilibrium Analysis --
_g9.1.
_tOptimum Values and Extreme Values --
_g9.2.
_tRelative Maximum and Minimum: First-Derivative Test --
_g9.3.
_tSecond and Higher Derivatives --
_g9.4.
_tSecond-Derivative Test --
_g9.5.
_tDigression on Maclaurin and Taylor Series --
_g9.6.
_tNth-Derivative Test for Relative Extremum of a Function of One Variable --
_g10.
_tExponential and Logarithmic Functions --
_g10.1.
_tThe Nature of Exponential Functions --
_g10.2.
_tNatural Exponential Functions and the Problem of Growth --
_g10.3.
_tLogarithms --
_g10.4.
_tLogarithmic Functions --
_g10.5.
_tDerivatives of Exponential and Logarithmic Functions --
_g10.6.
_tOptimal Timing --
_g10.7.
_tFurther Applications of Exponential and Logarithmic Derivatives --
_g11.
_tThe Case of More than One Choice Variable --
_g11.1.
_tThe Differential Version of Optimization Conditions --
_g11.2.
_tExtreme Values of a Function of Two Variables --
_g11.3.
_tQuadratic Forms--An Excursion --
_g11.4.
_tObjective Functions with More than Two Variables --
_g11.5.
_tSecond-Order Conditions in Relation to Concavity and Convexity --
_g11.6.
_tEconomic Applications --
_g11.7.
_tComparative-Static Aspects of Optimization --
_g12.
_tOptimization with Equality Constraints --
_g12.1.
_tEffects of a Constraint --
_g12.2.
_tFinding the Stationary Values --
_g12.3.
_tSecond-Order Conditions --
_g12.4.
_tQuasiconcavity and Quasiconvexity --
_g12.5.
_tUtility Maximization and Consumer Demand --
_g12.6.
_tHomogeneous Functions --
_g12.7.
_tLeast-Cost Combination of Inputs --
_g12.8.
_tSome Concluding Remarks --
_gPart 5.
_tDynamic Analysis --
_g13.
_tEconomic Dynamics and Integral Calculus --
_g13.1.
_tDynamics and Integration --
_g13.2.
_tIndefinite Integrals --
_g13.3.
_tDefinite Integrals --
_g13.4.
_tImproper Integrals --
_g13.5.
_tSome Economic Applications of Integrals --
_g13.6.
_tDomar Growth Model --
_g14.
_tContinuous Time: First-Order Differential Equations --
_g14.1.
_tFirst-Order Linear Differential Equations with Constant Coefficient and Constant Term --
_g14.2.
_tDynamics of Market Price --
_g14.3.
_tVariable Coefficient and Variable Term --
_g14.4.
_tExact Differential Equations --
_g14.5.
_tNonlinear Differential Equations of the First Order and First Degree --
_g14.6.
_tThe Qualitative-Graphic Approach --
_g14.7.
_tSolow Growth Model --
_g15.
_tHigher-Order Differential Equations --
_g15.1.
_tSecond-Order Linear Differential Equations with Constant Coefficients and Constant Term --
_g15.2.
_tComplex Numbers and Circular Functions --
_g15.3.
_tAnalysis of the Complex-Root Case --
_g15.4.
_tA Market Model with Price Expectations --
_g15.5.
_tThe Interaction of Inflation and Unemployment --
_g15.6.
_tDifferential Equations with a Variable Term --
_g15.7.
_tHigher-Order Linear Differential Equations --
_g16.
_tDiscrete Time: First-Order Difference Equations --
_g16.1.
_tDiscrete Time, Differences, and Difference Equations --
_g16.2.
_tSolving a First-Order Difference Equation --
_g16.3.
_tThe Dynamic Stability of Equilibrium --
_g16.4.
_tThe Cobweb Model --
_g16.5.
_tA Market Model with Inventory --
_g16.6.
_tNonlinear Difference Equations--The Qualitative-Graphic Approach --
_g17.
_tHigher-Order Difference Equations --
_g17.1.
_tSecond-Order Linear Difference Equations with Constant Coefficients and Constant Term --
_g17.2.
_tSamuelson Multiplier-Acceleration Interaction Model --
_g17.3.
_tInflation and Unemployment in Discrete Time --
_g17.4.
_tGeneralizations to Variable-Term and Higher-Order Equations --
_g18.
_tSimultaneous Differential Equations and Difference Equations --
_g18.1.
_tThe Genesis of Dynamic Systems --
_g18.2.
_tSolving Simultaneous Dynamic Equations --
_g18.3.
_tDynamic Input-Output Models --
_g18.4.
_tThe Inflation-Unemployment Model Once More --
_g18.5.
_tTwo-Variable Phase Diagrams --
_g18.6.
_tLinearization of a Nonlinear Differential-Equation System --
_g18.7.
_tLimitations of Dynamic Analysis --
_gPart 6.
_tMathematical Programming --
_g19.
_tLinear Programming --
_g19.1.
_tSimple Examples of Linear Programming --
_g19.2.
_tGeneral Formulation of Linear Programs --
_g19.3.
_tConvex Sets and Linear Programming --
_g19.4.
_tSimplex Method: Finding the Extreme Points --
_g19.5.
_tSimplex Method: Finding the Optimal Extreme Point --
_g19.6.
_tFurther Notes on the Simplex Method --
_g20.
_tLinear Programming (Continued) --
_g20.1.
_tDuality --
_g20.2.
_tEconomic Interpretation of a Dual --
_g20.3.
_tActivity Analysis: Micro Level --
_g20.4.
_tActivity Analysis: Macro Level --
_g21.
_tNonlinear Programming --
_g21.1.
_tThe Nature of Nonlinear Programming --
_g21.2.
_tKuhn-Tucker Conditions --
_g21.3.
_tThe Constraint Qualification --
_g21.4.
_tKuhn-Tucker Sufficiency Theorem: Concave Programming --
_g21.5.
_tArrow-Enthoven Sufficiency Theorem: Quasiconcave Programming --
_g21.6.
_tEconomic Applications --
_g21.7.
_tLimitations of Mathematical Programming --
_tThe Greek Alphabet --
_tMathematical Symbols --
_tA Short Reading List --
_tAnswers to Selected Exercise Problems.
650 0 _aEconomics, Mathematical.
650 6 _aMathématiques économiques.
650 1 7 _aWiskundige economie.
_2gtt
700 1 _aWainwright, Kevin.
856 4 1 _3Table of contents only
_uhttp://www.loc.gov/catdir/enhancements/fy0618/2004059546-t.html
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy0632/2004059546-d.html
900 _aAUTH
_bTOC
942 _2ddc
_cBK
999 _c61819
_d61819