MARC Record from marc_columbia

LEADER: 09170cam a22003734a 4500
001 5833829
005 20221121205349.0
008 040910t20052005maua b 001 0 eng
010 $a 2004059546
020 $a0070109109 (alk. paper)
035 $a(OCoLC)ocm56510416
035 $a(NNC)5833829
035 $a5833829
040 $aDLC$cDLC$dBAKER$dMUQ$dNLGGC$dOrLoB-B
042 $apcc
050 00 $aHB135$b.C47 2005
082 00 $a330/.01/51$222
084 $a83.03$2bcl
100 1 $aChiang, Alpha C.,$d1927-$0http://id.loc.gov/authorities/names/n83173581
245 10 $aFundamental methods of mathematical economics /$cAlpha C. Chiang, Kevin Wainwright.
250 $a4th ed.
260 $aBoston, Mass. :$bMcGraw-Hill/Irwin,$c[2005], ©2005.
300 $axix, 688 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. 659-661) and index.
505 00 $gPart 1.$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.$0http://id.loc.gov/authorities/subjects/sh85040869
650 6 $aMathématiques économiques.
650 17 $aWiskundige economie.$2gtt
700 1 $aWainwright, Kevin.$0http://id.loc.gov/authorities/names/n87818401
856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/enhancements/fy0618/2004059546-t.html
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0632/2004059546-d.html
852 00 $bleh$hHB135$i.C47 2005